105, 144 lcm division method
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Step-by-step explanation:
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Answered by
1
Answer:
LCM = 5040
Solution by Division Method
Write your numbers in the top row.
Divide your numbers by prime numbers as long as at least one of your numbers is evenly divisible by a prime number.
Division Table
2 105 144
2 105 72
2 105 36
2 105 18
3 105 9
3 35 3
5 35 1
7 7 1
1 1
Bring down any numbers that are not evenly divisible by the prime number.
When the last row of results is all 1's you are done.
Find the product of the prime numbers in the first column to get the LCM:
LCM = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7
LCM = 5040
Therefore,
LCM(105, 144) = 5040
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