2 x 2 x 2 = 8
2 x 3 x 5 = 30
3 x 3 x 5 = 45
2 x 2 x 2 x 3 x 3 x 5 = 360, the LCM
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To find the Least Common Multiple (LCM) of 15 and 30, we first need to find the prime factorization of each number. The prime factorization of 15 is 3 x 5, and the prime factorization of 30 is 2 x 3 x 5. To find the LCM, we take the highest power of each prime factor that appears in either number, which gives us 2 x 3 x 5 = 30. Therefore, the LCM of 15 and 30 is 30.
The factor tree finds the prime factorization. The prime factorization finds the LCM. Example: 30 and 42 Factor them. 30 15,2 5,3,2 42 21,2 7,3,2 2 x 3 x 5 = 30 2 x 3 x 7 = 42 Select the highest amount of each factor. 2 x 3 x 5 x 7 = 210, the LCM
5 or 1 5 would be the greatest common factor (GCF) but the LCM (Least Common Multiple) is found by either listing factors of both numbers, or by prime factorization. The prime factorization method: 30 = 2*3*5 35 = 5*7 So the LCM = 2*3*5*7 = 210 Note that 210/30 = 7 and 210/35 = 6 so both numbers, 30 and 35 are factors of 210. The listing method: 30,60,90,120,150,180,210 35,70,105,140,175,210 So 210 is the first (least) number that is a multiple of 30 and 35
30=2 x 3 x 5
The Least Common Multiple (LCM) of 30 is 30. The LCM is the smallest multiple that two or more numbers have in common. In the case of 30, it is already the smallest multiple of itself, so the LCM of 30 is 30.