Find the smallest number that is divisible by all even numbers 5 and 15 is ?
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You need to find LCM of all even number between 5 and 15
even number between 5 and 15 are - 6 , 8 , 10 , 12 , 14
LCM (6,8,10,12) is
6 = 2× 3
8 = 2^3
10 = 2×5
12 = 3×2^2
14 = 7 × 2
Then , LCM = 2^3 × 5 × 3 ×7
= 840
840 is Required Number
even number between 5 and 15 are - 6 , 8 , 10 , 12 , 14
LCM (6,8,10,12) is
6 = 2× 3
8 = 2^3
10 = 2×5
12 = 3×2^2
14 = 7 × 2
Then , LCM = 2^3 × 5 × 3 ×7
= 840
840 is Required Number
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