What is the concept of LCM and HCF?
The full form of LCM in Maths is the Least Common Multiple, whereas the full form of HCF is the Highest Common Factor. The H.C.F. defines the greatest factor present in between given two or more numbers, whereas L.C.M. defines the least number which is exactly divisible by two or more numbers.What are the rules for LCM?
Step 1: List the first few multiples of A and B. Step 2: Mark the common multiples from the multiples of both numbers. Step 3: Select the smallest common multiple. That lowest common multiple is the LCM of the two numbers.How do you work out the HCF and LCM?
The highest common factor is found by multiplying all the factors which appear in both lists: So the HCF of 60 and 72 is 2 × 2 × 3 which is 12. The lowest common multiple is found by multiplying all the factors which appear in either list: So the LCM of 60 and 72 is 2 × 2 × 2 × 3 × 3 × 5 which is 360.What is the formula of LCM and HCF?
The formula of HCF and LCM is: Product of two numbers = LCM of two numbers x HCF of two numbers. The following formulas can be deduced from the HCF and LCM Formula. HCF of two numbers = Product of two numbers/ LCM of two numbers.How to find the Lowest Common Multiple (LCM) #6
How to verify LCM and HCF?
Verify LCM and HCF is equal to the product of two numbers. The Least Common Multiple (LCM) of two or more numbers is the smallest number among all common multiples of the given numbers. The Highest Common Factor (HCF) of two numbers is the highest possible number which divides both the numbers completely.What are the basic rules of HCF and LCM?
HCF is the largest of all the common factors of the given numbers. LCM is the smallest of all the common multiples of the given numbers. HCF of given numbers cannot be greater than any of them. LCM of given numbers cannot be smaller than any of them.What is the LCM trick?
To calculate LCM, first of all we have to express the given numbers as products of prime numbers (2, 3, 5, 7, 11, 13, 17…). This is known as Prime Factorization Method. After doing so, prime factors with the highest powers need to be chosen and multiplied to get the LCM. 24 = 2×2×2×3 = 23×31. 36 = 22×32.How do you calculate LCM rule?
Using the Greatest Common Divisor (GCD): First, find the GCD of your numbers. Then, use a simple formula: LCM(a, b) = (a × b) / GCD(a, b). Using the Cake Method (Ladder Method): This visual method breaks numbers down step-by-step, similar to a ladder.Is it true that LCM is always greater than HCF?
The LCM of two numbers is always greater than both numbers. The HCF of two numbers is always less than both numbers. Hence, the given statement that the LCM of any two distinct numbers is always greater than their HCF is true.What is the difference between LCM and HCF with example?
Let's illustrate the difference between LCM and HCF with an example. Take the numbers 12 and 18. The LCM of 12 and 18 is 36, as it's the smallest multiple they both share. On the other hand, the HCF of 12 and 18 is 6, the largest number that can divide them both evenly.Can LCM and HCF be the same?
Therefore, the two numbers are the equal. So, the correct answer is “Option D”. Additional Information: HCF of two numbers is always less than or equal to their LCM. Also LCM is always a multiple of HCF.When to use LCM and HCF?
When we have to find a number larger than given numbers, then we find LCM. If we have to find smaller number, then we find HCF .What is the logic of LCM and HCF?
The HCF of given numbers will be always less than or equal to any of the numbers. The LCM of the given numbers will always be greater than or equal to any of the numbers given. Hcf(a,b) where “a” and “b” are two numbers. Lcm(a,b) where “a” and “b” are two numbers.What is the simple method of LCM and HCF?
Step 1: Divide the largest number by the smallest number. Step 2: Take divisor as new dividend and remainder as the new divisor, i.e. divide the first divisor by the first remainder. Step 3: Proceed till the remainder is zero and the last divisor will be the HCF of the given numbers. Therefore, HCF of 24 and 15 is 3.How do you know if a word problem is HCF or LCM?
Whenever the question talks about the greatest or maximum, then in most of these cases it will be a question of HCF. Secondly, whenever the question is related to classification or distribution into groups, then in all the cases it is HCF only.What is the basic concept of LCM and HCF?
The HCF is the highest common factor between two numbers or more. Whereas the LCM is the lowest common multiple which is exactly divided by these two numbers. HCF can also be called the Greatest Common Factor between any two numbers. LCM is also called Least Common Divisor between two or more numbers.What is the basic rule of LCM?
Rule (How to find the LCM): The LCM of two or more numbers is equal to the product of each factor by the maximum number of times it appears in the prime factorization of those numbers.What is the concept of LCM?
In Mathematics, the LCM of any two is the value that is evenly divisible by the two given numbers. The full form of LCM is Least Common Multiple. It is also called the Least Common Divisor (LCD).What is the trick for finding HCF?
To determine the highest common factor using this method, you must first divide the largest number by the lowest number in the supplied set. The divisor will now be the new dividend, and the remainder will be the new divisor. Repeat until you have a remainder 0 at the end of the process.How to solve a problem with HCF and LCM?
The rule for Solving HCF and LCM Questions and Answers:
- Calculate the multiples or the factors of the larger number until one of them is also a multiple of the smaller number.
- Then multiply all these factors, and the resultant will be the LCM of the given numbers.