Question

Find the least number of 5 digits exactly divosble by each 3,4,5,6,7and8​

Answer 1

★ AnSwer :

• Least number of 5 digits exactly divisible by 3, 4, 5, 7 and 8 is 10080.

━━━━━━━━━━━━━━━

★ SoluTion :

As we know that,

• Least number of 5 digits is 10000.

Now, by taking LCM of these numbers,

• L.C.M of 3,4,5,6,7,8 = 840

Now, For req number we should find the number, that is,

=840/10000

=760

∴ Required number is :-

=10000+(840−760)

=10000+80

=10080

━━━━━━━━━━━━━━━

Answer 2

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

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