Question

51. The least number which when divided by 14,
35 and 42 leaves remainder in each case , is 216​

Answer 1

Step-by-step explanation:

ANS : 1897

Lcm of (15, 27, 35, 42) =5*3*3*3*7*2=1890

To leave a remainder 7, add 7 to it 1897

Answer 2

216 is the number which when divided by 14, 35 and 42 leaves the same remainder which is 6.

Step-by-step explanation:

The least common multiple of 14, 35, and 42 is 210.

The multiples of 42 are 42, 84, 126, 168, 210, ........

Now, from those multiples of 42, only 210 is the least multiple which is divisible by 35 and 14 both.

Therefore, LCM of 14, 35, and 42 is 210.

Now, 216 is the number which when divided by 14, 35 and 42 leaves the same remainder which is (216 - 210) = 6. (Answer)