Question

The LCM of two numbers is 1344 and their HCF is 4. If one of the number is 84 find the other number..
With full brief explanation...
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Answer 1

Answer:

64

Step-by-step explanation:

Let,

the other number = x

proof:L.C.M. ×H.C.F. = product of number

1344 × 4 = 84 × X

5376 = 84x

x= 5376/84

X= 64

Answer 2

Given:

The LCM of the two numbers is 1344 and their HCF is 4. One of the numbers is 84.

To Find:

The other number is?

Solution:

1. Let the unknown number be n.

2. The product of the two numbers will be equal to the product of their HCF and their LCM.

=> Product of two numbers = LCM x HCF.

3. Using the above formula, the second number can be calculated,

=> 84 * n = 1344 * 4,

=> n = (1344*4)/84,

=> n = 1344/21 = 448/7 = 64.

=> n = 64.

Therefore, the other number is 64.