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e-lub [12.9K]
3 years ago
12

What is the smallest number which has a reminder of 2 when it is divided by 6,7 and 8

Mathematics
1 answer:
Viktor [21]3 years ago
8 0

170 is the smallest number which has a reminder of 2 when it is divided by 6,7 and 8

<u>Step-by-step explanation:</u>

The Least or Lowest Common Multiple (LCM) or Least Common Divisor (LCD).

For two integers a and b, denoted LCM (a, b), the LCM is the smallest positive integer that is evenly divisible by both a and b. The LCM of two or more numbers is the smallest number that is evenly divisible by all numbers in the set. Let find LCM of 6, 7 and 8.

             6=2 \times 3

             8=2 \times 2 \times 2

             7=7 \times 1

             L C M=2 \times 2 \times 2 \times 3 \times 7=168

We add 2 to LCM to get the smallest number which gives a remainder of 2.

So, the number is 168+ 2 = 170

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