Question

If HCF (a, b) = 45 and a × b = 30375, then LCM (a, b) is:
(A) 1875
(B) 1350
(C) 625
(D) 675​

Answer 1

Answer:

Heyaa mate______^_^ the answer to your question is as follows___ :-

______________________________________

We know that;

HCF × LCM = PRODUCT OF TWO NUMBERS

Now;

45 × LCM = 30375

LCM = 30375 / 45

= 675

Hence mate, your answer is (D) 675.

______________________________________

@YogiChaudhary

Answer 2

GIVEN: HCF of a, b =45; a × b = 30375;

TO FIND: LCM of a, b

SOLUTION:

In this question, we are given the HCF of two numbers and their product and we need to find the LCM.

HCF × LCM = Product of two numbers

45 × LCM = 30375

LCM = $\frac{30375}{45}$

LCM = 675

LCM of both the numbers in 675.

As there is a formula that the product of HCF and LCM is equal to the product of the given numbers.

So, we have multiplied LCM and HCF and according to the question, we have the product of both the numbers we solved and got the LCM of the numbers.

LCM of both the numbers is 675.

Option D is correct i.e. 675.

PROJECT CODE #SPJ2