Question

LCM of two prime numbers is 1247 if one of the number is prime number is 29 find the other

Answer 1

Answer:

43

Step-by-step explanation:

Since, both the numbers are prime, their LCM is the product of those two numbers. Since we already know the first number we can easily find out the second number.

Let the other number = x

$29 \times x = 1247 \\ x = \frac{1247}{29} \\ = 43$

Hope it helps. Happy Learning.

Answer 2

Given:

LCM of 2 Prime numbers is 1247.

One of the number is 29.

To find:

The other number.

Solution:

First,

We know that,

The LCM of any 2 Prime numbers is their product.

Let one Prime number be a and the other be b.

We know that One Prime number is 29.

Lets assume that b = 29 and the product of numbers is 1247.

Therefore,

ab = 1247

a * 29 = 1247.

a = 1247 / 29

a = 43.

Conclusion:

Therefore, The other Prime number is 43.

Verification:

ab = 1247

43 * 29 = 1247

1247 = 1247.

LHS = RHS

Hence, verified.

Extra Information:

HCF of any 2 Prime numbers is always 1.

LCM of any 2 Prime numbers always is their product.