Question

Write the smallest number which is divisible by both 306 and 657​

Answer 1

Smallest number which is divisible by 306  and 657 is 22338

Solution:

In order to find the smallest number divided by 306 and 657, prime factorization is done followed by LCM of given number is found.

LCM – Least Common Factor  

Prime factorization of 306 and 657 is done to get the prime numbers which is multiplied to get the original number.

$\begin{array}{l}{306=2 \times 3 \times 3 \times 17} \\ {657=3 \times 3 \times 73}\end{array}$

The LCM of 306 and 657 is  

L.C.M = $\bold{2 \times 3 \times 3 \times 17 \times 73}$ = 22338

Answer 2

Answer:

Smallest number which is divisible by both 306 and 657 is 22338

Step-by-step explanation:

We have to find LCM of 306 and 657

Write given numbers into product of prime :

306 = 2×3²×17

657 = 3² × 73

LCM of 306 and 657

= 2×3²×17×73

/* product of the greatest power of each prime factors of the numbers. */

= 22338

Therefore,

Smallest number which is divisible by both 306 and 657 is 22338

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