If x is the least common multiple of the set {6, 8, 12} and y is the greatest common factor of the set {20, 42, 72), what is the value

Question

If x is the least common multiple of the set {6, 8, 12} and y is the greatest common factor
of the set {20, 42, 72), what is the value of x/y ?

in progress 0
Verity 6 months 2021-07-23T05:54:40+00:00 1 Answers 5 views 0

Answers ( )

    0
    2021-07-23T05:56:17+00:00

    Answer:

    12

    Step-by-step explanation:

    The least common multiple of {6,8,12} is 24. This can be intuitively figured by noting that any multiple of 12 is a multiple of 6 and that 12 is 1.5x larger than 8. That means we only have so multiple 12 by 2 and 8 by 3 for them to be equal. The GCF of {20,42,72} is 2 as the prime factorization of 20 is 2x2x5 and 42 is 2x3x7. That means even without having to check 72 (which is clearly even so 2 is a factor), we know that 2 is the greatest common factor that they could share. So X/Y = 24/2 = 12

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )