LCM of 8,69, 9,19,12
Answers
Answer:
31,464
Step-by-step explanation:
List all prime factors for each number.
Prime Factorization of 8 is:
2 x 2 x 2 => 23
Prime Factorization of 9 is:
3 x 3 => 32
Prime Factorization of 12 is:
2 x 2 x 3 => 22 x 31
Prime Factorization of 19 shows:
19 is prime => 191
Prime Factorization of 69 is:
3 x 23 => 31 x 231
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, 2, 2, 3, 3, 19, 23
Multiply these factors together to find the LCM.
LCM = 2 x 2 x 2 x 3 x 3 x 19 x 23 = 31464
In exponential form:
LCM = 23 x 32 x 191 x 231 = 31464
LCM = 31464
Therefore,
LCM(8, 9, 12, 19, 69) = 31,464
Hope this helps you dear !!
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LCM =31464
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