Find the lowest number which is divids by 35,56,91 and get reminder 7
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The smallest number which divides35,56 and 91 is 3640. But we have a condition that it leaves a remainder of7. So we add 7 to the LCM (3640+7=3647). Hence the smallest number that when divided by 35,56,91leaves a remainder 7 is 3647.
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Firstly, we will find the LCM of 35, 56 and 91
35 = 7 × 5
56 = 2 × 2 × 2 × 7
91 = 1 × 91
LCM = 3640
Secondly, we will add 7, which is remainder, to the LCM
=> 3640 + 7
= 3647
∴ The least number which divides 35, 56 and 91 leaving 7 as a remainder in each case is 3647.
35 = 7 × 5
56 = 2 × 2 × 2 × 7
91 = 1 × 91
LCM = 3640
Secondly, we will add 7, which is remainder, to the LCM
=> 3640 + 7
= 3647
∴ The least number which divides 35, 56 and 91 leaving 7 as a remainder in each case is 3647.
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