Table of Contents
How do you find the relationship between HCF and LCM?
The Relation Between HCF and LCM of co-prime numbers is the product of the numbers = LCM of Co-Prime numbers, as the HCF of co-prime numbers is equal to 1.
What is the relation between LCM and HCF Class 10?
So let us take a look at a few examples which will help you understand LCM and HCF. Example 1: Find the greatest number that will divide 400, 435 and 541 leaving 9, 10 and 14 as remainders respectively. Therefore the required number is 17.
How do you find the LCM of Class 10?
LCM By Division Method
- First, write the numbers, separated by commas.
- Now divide the numbers, with the smallest prime number.
- If any number is not divisible, then write down that number and proceed further.
- Keep on dividing the row of numbers by prime numbers, unless we get the results as 1 in the complete row.
How do you find the product of HCF and LCM?
The formula which involves both HCF and LCM is: Product of Two numbers = (HCF of the two numbers) x (LCM of the two numbers) Say, A and B are the two numbers, then as per the formula; A x B = H.C.F.
What is the HCF of 12 and 15?
For example, the HCF of 12 and 15 is 3. Because 3 is the only common factor for both the numbers 12 and 15 and it is the largest number that divides both the numbers. The followings are the relation between HCF and LCM. Go through the relation between HCF and LCM, solve the problem using the relations in an easy way.
How do you find the product of n numbers using HCF?
There are n numbers. If the HCF of each pair is x and the LCM of all the n numbers is y, then the product of n numbers is given by or Product of ‘n’ numbers = (HCF of each pair) n-1 × (LCM of n numbers).
What is the HCF and lcm of 25 35 and 45?
From the above expression, we can say 5 is the only common factor for all the three numbers. Therefore, 5 is the HCF of 25, 35 and 45. Example: Find the Least Common Multiple of 36 and 44. Solution: Given, two numbers 36 and 44. Let us find out the LCM, by division method.