Question

JjFind the smallest number divisible by both 306 and 657.

Answer 1

hence, smallest number is 22338 which is divisible by 306 and 657. Step-by-step explanation: Basically we need to find the LCm of 306 and 657 for getting smallest number divisible by both the numbers. Therefore, smallest number divisible by 306 and 657 is 22338.

Answer 2

Find smallest number  divisible by 306 and 657  

indirectly question ask us to find LCM of 306 and 657.  

prime factors of 306 = 2 × 3² × 17

prime factors of 657 = 3 × 3 × 73  

so, lowest common multiple or LCM of 306 and 657 = 2 × 3² × 17 × 73  

= 2 × 9 × 17 × 73  

= 18 × 17 × 73  

= 306 × 73  

= 22338

hence, smallest number is 22338 which is divisible by 306 and 657