What least number when divided by 36, 24 and 16 leaves 11 as remainder in each case?

Answer

155 is the least number when divided by 36, 24 and 16 leaves 11 as remainder in each case.

Given numbers: 16, 24, 26

Finding LCM which is Lowest Common Factor is
LCM = 2 × 2 × 2 × 3 × 1 × 2 = 144

144 is the LCM of 36, 24 and 16.

Given condition leaving 11 as reminder

By adding 11 to LCM = 11+144 = 155

155 is the least number when divided by 36, 24 and 16 leaves 11 as remainder in each case.

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