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Find LCM(44,12).
Method 1 (Recommended):
44 = 2 x 2 x 11
12 = 2 x 2 x 3
GCF(44,12) = 2 x 2 = 4
LCM(44,12) = (44 x 12) / GCF(44,12)
LCM(44,12) = (44 x 12) / 4
LCM(44,12) = 528 / 4
LCM(44,12) = 132
To check if this is the true LCM:
132/44 = 3
132/12 = 11
If this is the true LCM, the GCF of these two new numbers (3 and 11) will be 1.
GCF(3,11) =? 1
GCF(3,11) = 1
Yes, this is true because both 3 and 11 are prime numbers. The LCM is correct.
Method 2:
12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132
44: 44, 88, 132, 176
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