Question

find the LCM and HCF of the following pairs of integers and verify the LCM into active is equal to product of two numbers question 26 and 91 ​

Answer 1

Answer:

46920 = 46920. Hence verified. [LCM of two or more numbers = product of the greatest power of each prime factor involved in the numbers, with highest power.] [HCF(Highest Common Factor) of two or more numbers = Product of the smallest Power of each common prime factor involved in the numbers.

Answer 2

Answer:

Yes, the product of LCM and HCF of two numbers is equal to their product.

Step-by-step explanation:

We can verify it by the following method :-

For example, let us take the two numbers be 15 and 30.

HCF of 15 and 30 = 15

LCM of 15 and 30 = 30

15 × 30 = 450 – { Product of HCF and LCM of the numbers }

Product of the numbers = 15 × 30 = 450 .

So, now we can say the product of LCM and HCF of two numbers is same as the product of the two numbers.

Hope you understand it clearly. Please mark as brainiest and follow me.