Table of Contents
Why is HCF and LCM equal to product of two numbers?
HCF of co-prime numbers is 1. Therefore, the LCM of given co-prime numbers is equal to the product of the numbers. Example: Let us take two coprime numbers, such as 21 and 22.
How do you find the HCF and LCM with a product of two numbers?
For example: Find HCF and LCM of 9 and 12. And verify HCF × LCM = Product of the two numbers. Product of 9 and 12 = 9 x 12 = 108. Hence, HCF(9, 12) × LCM(9, 12) = Product of 9 and 12.
Is the product of three number always equal to the product of their HCF and LCM?
no the product of three numbers will never equal to the product of their hcf and lcm.
Are HCF and LCM equal?
LCM and HCF of two numbers are the same. Therefore, the two numbers are the equal. So, the correct answer is “Option D”.
Where is HCF and LCM used?
What are Applications of LCM and HCF. To split things into smaller sections. To equally distribute any number of sets of items into their largest grouping. To figure out how many people we can invite.
Is LCM and HCF are equal?
LCM and HCF of two numbers are the same. Therefore, the two numbers are the equal.
Is HCF always a factor of LCM?
The statement ‘HCF of two numbers is always a factor of their LCM’ is true.
What is the HCF of two number is equal to?
HCF of two numbers is a factor of each of the numbers. HCF of two numbers is always less than or equal to each of the numbers. HCF of two prime numbers is 1 always. HCF of two numbers can also be found out with help of the listing factors method.
What is the product of HCF and LCM?
The product of HCF and LCM = Product of the numbers whose HCF and LCM are used . The HCF of two numbers is 15, and their product is 1650. How do you find the LCM?
How to find the HCF of two or more numbers?
To find the HCF of two or more numbers, express each number as product of prime numbers. The product of the least powers of common prime terms gives us the HCF. This is the method we illustrated in the above step.
What is the LCM of any natural number with 1?
Let x be any natural number, greater than 1, and a and b are also two natural numbers (greater than oor equal to1). which is simply a because lcm of any natural number with 1 is the number itself. since gcd of any natural number with 1 is 1 since 1 is the highest common factor of both numbers.
What is the LCM of two co-prime numbers?
Therefore, LCM of given co-prime numbers is equal to the product of the numbers. LCM of Co-prime Numbers = Product Of The Numbers Example: Let us take two coprime numbers, such as 21 and 22. LCM of 21 and 22 = 462