find the lcm of the group 100,150,200 by using prime factor method
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Let's prime factorise each number first.
100 = 2 × 2 × 5 × 5 = 2² × 5²
150 = 2 × 3 × 5 × 5 = 2 × 3 × 5²
200 = 2 × 2 × 2 × 5 × 5 = 2³ × 5²
We know that LCM = product of highest powers of every prime factor.
So, LCM of 100, 150 and 200 = 2³ × 3 × 5²
= 8 × 3 × 25
= 600
∴ LCM of 100, 150 & 200 = 600
Hope my answer helps you : )
100 = 2 × 2 × 5 × 5 = 2² × 5²
150 = 2 × 3 × 5 × 5 = 2 × 3 × 5²
200 = 2 × 2 × 2 × 5 × 5 = 2³ × 5²
We know that LCM = product of highest powers of every prime factor.
So, LCM of 100, 150 and 200 = 2³ × 3 × 5²
= 8 × 3 × 25
= 600
∴ LCM of 100, 150 & 200 = 600
Hope my answer helps you : )
KVaishu:
If my answer really helps you, then please grade it as the Brainliest answer.
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