What is the lcm of 11 22 33 55
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Answer:
11=11¹ × 1¹
22=11¹ × 2¹
33=11¹ × 3¹
55=11¹ × 5¹
LCM(11,22,33,55)=11×2×3×5=330
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Answered by
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Step-by-step explanation:
List all prime factors for each number.
Prime Factorization of 11 shows:
11 is prime => 111
Prime Factorization of 22 is:
2 x 11 => 21 x 111
Prime Factorization of 33 is:
3 x 11 => 31 x 111
Prime Factorization of 55 is:
5 x 11 => 51 x 111
For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.
The new superset list is
2, 3, 5, 11
Multiply these factors together to find the LCM.
LCM = 2 x 3 x 5 x 11 = 330
In exponential form:
LCM = 21 x 31 x 51 x 111 = 330
LCM = 330
Therefore,
LCM(11, 22, 33, 55) = 330
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