SOLUTION: what is the LCM of 66 and 90 what is the LCM 96 and 212 what is the LCM of 25 and 70

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Question 517525: what is the LCM of 66 and 90
what is the LCM 96 and 212
what is the LCM of 25 and 70
Answer by oberobic(2304) (Show Source):
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1) LCM OF 66 & 90
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Factor the number into prime factors...
66= 1 * 2 * 3 * 11
90= 1 * 2 * 3 * 3 * 5
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Multiply each factor the most times it occurs
1: occurs once in each sequence
2: occurs once in each sequence
3: occurs twice in 90
5: occurs once in 90
7: does not occur
11: occurs once in 66
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LCM = 1 * 2 * 3 * 3 * 5 * 11 = 990
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2) LCM OF 96 AND 212
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96= 8*12 = 1 * 2 * 2 * 2 * 2 * 2 * 3
212 = 4*53 = 1 * 2 * 2 * 53
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LCM = 1 * 2^5 * 3 * 53 = 32*53 = 5088
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3) LCM OF 25 AND 70
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25= 1 * 5 * 5
70 = 1 * 2 * 5 * 7
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LCM = 1 * 2 * 5 * 5 * 7 = 350
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Done.