The least number which when divided by 14, 35 and 42 leaves remainder

1.	The least number which when divided by 14, 35 and 42 leaves remainder 6 in each case is
Answer» 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 least number which is divisible by 14, 35 & 42 is LCM of 14, 32 & 42. \(\because\) 14 = 7 x 2 35 = 7 x 5 42 = 7 x 2 x 3 \(\therefore\) LCM(14, 32, 42) = 7 x 2 x 3 x 5 = 210 Hence, the least number which is divisible bt 14, 35 & 42 is 210. \(\therefore\) 210 + 6 = 216 is the least number which when divided by 14, 35 & 42 leaves remainder 6 in each case.

The least number which when divided by 14, 35 and 42 leaves remainder 6 in each case is

Answer»

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 least number which is divisible by 14, 35 & 42 is LCM of 14, 32 & 42.

\(\because\) 14 = 7 x 2

35 = 7 x 5

42 = 7 x 2 x 3

\(\therefore\) LCM(14, 32, 42) = 7 x 2 x 3 x 5 = 210

Hence, the least number which is divisible bt 14, 35 & 42 is 210.

\(\therefore\) 210 + 6 = 216 is the least number which when divided by 14, 35 & 42 leaves remainder 6 in each case.

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