Question

a certain number of balls can be divided equally among 2, 3, 4, 5, 6 & 7. what will be the least such number?

Answer 1

Minimum number of balls that can be divided equally among 2, 3, 4, 5, 6 & 7 = 840 balls

To find out the minimum number of balls, the LCM of 2, 3, 4, 5, 6 and 7 has to be found.

LCM of 2, 3, 6 = 6

LCM of 4, 5, 7 = 140

Therefore LCM of 2, 3, 4, 5, 6 and 7 = 6 x 140 = 840

Answer 2

Solution:-
given by :-

》balls are 2, 3, 4, 5, 6 & 7.
dividen along
= 840

take factor

》2 =2
》3=3
》4 =2×2
》5=5
》6=2×3
》7=7

》take LCM = 2×3×6 = 6

》4 ×5×7 = 140

now
we have

》6×140 = 840 ans