Question

で
C
If both 351 and 88 are factors of the number a * 141*64*1313, then what is the smallest possible
value of a?
O 429
O 297
O117
*99​

Answer 1

429 is the correct answere

Answer 2

Given:

351 and 88 are factors of a * 141*64*1313

To find:

The smallest possible value of a

Solution:

We can see that 351 and 88 do not have any common factor therefore if they both are factors of a number that number will be a multiple of their LCM.

So we will find the LCM of 351 and 88 which will be

LCM = 351 x 88 = 30888

Now we need to find the smallest value of a so that the given number becomes a multiple of 30888

Given number = a * 141*64*1313

= a x 11848512

Therefore we can see that if we put the value of 'a' as 99 we get

= 99 x 11848512 = 1173002688

This number is a multiple of 3088.

Therefore the smallest value of 'a' will be 99.