Write the smallest no. Which is divisible by both 306 and 657
Answers
we have to find smallest number which is 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
The smallest number which is divisible by 306 and 657=22338
Step-by-step explanation:
We have: 306 and 657
To find, the smallest number, which is divisible by 306 and 657= ?
The smallest number which is divisible by 306 and 657 = LCM of 306 and 657
The factors of 306 = 2 × 153
= 2 × 3 × 51
= 2 × 3 × 3 × 17
The factors of 657 = 3 × 219
= 3 × 3 × 73
∴ The LCM of 306 and 657
= 2 × 3 × 3 × 17 × 73
= 2 × 9 × 17 × 73
= 18 × 17 × 73
= 306 × 73
= 22338
∴ The smallest number which is divisible by 306 and 657 = 22338