Any multiple of 300 will also be a multiple of 12 and 50. The prime factors of 12 are 2, 2, 3 The prime factors of 50 are 2, 5, 5 So the Least Common Multiple of 12 and 50 is 2x2x3x5x5 = 300
30
30 or 40
As factors, 1 and 5. As multiples, any multiple of 50
It is 30.
LCM of (a) and (b) is given as (ab)/(GCF(a,b)) To find the GCF, factor and find common factors. 50 factors to [2 5 5] 80 factors to [2 2 2 2 5] Common factors are [2 5] = 10 50 * 80 / 10 = 400 ■
30
Factors: 1, 5, 25 Multiples: 25, 50, 75, 100 and so on.
50 is the least common multiple of 50 and 10.
It is impossible to be a factor of 1000, but not of 10000. All of the factors of 1000 are also factors of 10000.
It's a multiple of 5, a multiple of 6 (since it's between twin primes), and less than 50. The only possibility is 30. To check: The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30
Factors of 50: 1 2 5 10 25 50. Prime factors are: 2 x 5 x 5 Factors of 60: 1 2 3 4 5 6 10 12 15 20 30 60. Prime factors are: 2 x 2 x 3 x 5 The prime Factors of 70: 1 2 5 7 10 14 35 70. Prime factors are: 2 x 5 x 7 The GCF of 50, 60, and 70 is 10 LCM is the multiple of the highest power of prime factors in two or more numbers. The LCM of 50, 60, and 70 is 2100, which is the multiple of the highest power of their prime factors (22 x 3 x 52 x 7).