Posted by **marissa** on Monday, May 13, 2013 at 7:45pm.

The greatest common factor of 2 numbers is

14, the least common multiple is 168. If the 2 numbers are not 14 and 168, what is the sum?

- math -
**Reiny**, Monday, May 13, 2013 at 10:24pm
1st number : 14a = 2(7)(a)

2nd number : 14b = 2(7)(b)

168 = 2(2)(2)(3)(7)

14ab = 8(3)(7)

ab = 12

could be:

a b

1 12

2 6

3 4

If a=1, b=12 , the 2 numbers are 14 and 168 , but we are told that's not it

if a = 2, b = 6, the 2 numbers are 28 84

check:

LCF of 28 and 84 would be 28

if a = 3, b = 4

**the two numbers are 42 and 56**

LCF = 14

42 = 2x3x7

56 = 2x2x2x7

LCM = 2x2x2x3x7 = 168 , YEAHH

so the sum of the two numbers is 42+56 = 98

- math -
**marissa**, Tuesday, May 14, 2013 at 12:49am
thank you a bunch reiny

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