Question

If hcf is 192 then what is lcm​

Answer 1

Answer:

LCM = 40320

Explanation:

This question is incomplete as we are not told the numbers that was used to derive the HCF.

Let's consider the following question:

The HCF of two numbers 2880 and 2688 is 192. What is the LCM?

Solution:

HCF means = highest common factor

LCM = lowest common multiple

Find attached the solution to the question.

The HCF is found by Picking the factors (prime numbers) common to both numbers. These factors are multiplied together to get the highest common factor.

The LCM is found by picking the factors common to both numbers and the remaining factors not common to both. These are then multiplied to get the lowest common multiple of the two numbers

In this case, the factors common = HCF = 2×2×2×2×2×2×3

Factors not common to both numbers =2×3×5×7

the LCM = 2×2×2×2×2×2×3 ×2×3×5×7

= 2×2×2×2×2×2×2×3×3×5×7

LCM = 40320