Question

Let GCF(a, b) be the abbreviation for the greatest common factor of a and b, and let LCM(c, d) be the abbreviation for the least common multiple of c and d. What is GCF(LCM(8, 14), LCM(7, 12))?

Answer 1

Answer:

Answer will be 28

Step-by-step explanation:

We have to find the GCF( LCM(8,14) , LCM (7,12) )

Here GCF is stands for greatest common factor and LCM is stands for lowest common factor

Let first find LCM of (8,14)

8 = 2×2×2

14 = 2×7

So LCM will be 2×2×2××7 = 56

Now LCM of (7,12)

7 = 7×1

12 = 2×2×3

So LCM will be 2×2×3×7 = 84

Now GCF of (56,84)

56 = 2×2×2×7

84=2×2×3×7

So GCF will be 2×2×7 = 28