Question

the LCM of two numbers is 504 and their HCF is 12. if one of the number is 72,find the other number​

Answer 1

Answer:

Product of the numbers = lcm*hcf

72 * x = 504 * 12

Here let x be the unknown number

On solving we get x = 84

Hope it helps ✌️

Answer 2

Given :-

• The LCM of two numbers is 504 and their HCF is 12. if one of the number is 72.

To find :-

• Other number

Solution :-

• LCM of two numbers = 504

• HCF of two numbers = 12

• One of number = 72

As we know that

→ LCM × HCF = a × b

Where " a " is first number and " b " is second number

Now, put the values

→ 504 × 12 = 72 × b

→ 6048 = 72b

→ b = 6048/72

→ b = 84

Hence,

• Other number is 84

Verification :-

• LCM × HCF = Product of two numbers

→ 504 × 12 = 72 × 84

→ 6048 = 6048

• Therefore verified