Question

If the HCF of two numbers is 36 and their LCM is 1260 . If one number is 72 find the other one

Answer 1

• Answer: B = 630

Hence, The other Number is: B = 630

• Step-by-step explanation: EUCLIDS ALGORITHM

If the HCF of two numbers is 36 and their LCM is 1260. If one number is 72 find the other one:

• PRIME FACTORS of 1260 are:

2, 2, 3, 3, 7

• PRIME FACTORS of 72 are:

2, 2, 2, 3, 3

• Write the formula for HCF and LCM:

HCF * LCM = a * b

HCF = 2 * 2 * 3 * 3

= 36

• Substitute The Given Values:

36 * 1260 = 72 * b

36 * 1260 = 72b

45360 = 72b

• Divide Both Sides by 36:

1260 = 2 * b

45360 / 72 = 72b/72

b = 630

• Divide Both Sides by 2:

B = 630

• Draw the conclusion:

Hence, The other Number is: B = 630

I hope this helps you!