7 members find gold coins if 7 members takes equal no.of gold coins it divides excatly,if 2,3,4,5,6 members takes the gold coins 1 coin will remain , how many coins are there?
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★ Given :
7 members find gold coins if 7 members takes equal no.of gold coins it divides excatly,if 2,3,4,5,6 members takes the gold coins 1 coin will remain.
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★ To Find :
We have to find that how many coins are there ?
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★ Solution :
As, there are 7 members and the when all take coins there 1 coin left.
So, we have to find the L.C.M of 2, 3, 4, 5, 6
→ 2 = 2 * 1
→ 3 = 3 * 1
→ 4 = 2 * 2
→ 5 = 5 * 1
→ 6 = 3 * 2
» L.C.M = 2 * 2 * 3 * 5
» L.C.M = 4 * 15
» L.C.M = 60
Now, A.T.Q
After this 1 coin will be left. So,
Total Number of coins = 60 + 1
Total Number of coins = 61
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