What least number when divided by 36, 24 and 16 leaves 11 as remainder in each case?
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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 as follows:
2 | 36 24 16
2 | 18 12 8
2 | 9 6 4
3 | 3 2
| 3 1 2
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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