Question

Find the least number of five digits exactly divisible by each of 3, 4 ,5,
6, 7 and 8​

Answer 1

Least number of 5 digits = 10000.

L.C.M of 3,4,5,6,7,8 = 840

Dividing 10000 by 840,

We get the remainder  as 760

∴ Required number  = 10000 + (840 − 760)

= 10000 + 80 = 10080

$\boxed{\bold{\therefore\:Least\:Number=10080}}$

Answer 2

Answer:

hey mate!

there is no number divible by 3, 4, 5, 6, 7 and 8.

the number 10080 is divisible with 3, 4, 5, 6, 7 but not with 8.

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