Match the two numbers with their least common multiple (LCM).

10 and 4 A) 30

10 and 6 B) 40

10 and 8 C) 20

Which ones match the answers?

Respuesta :

LCM:
10:  0,10,20,30,40,50
4:  0,4,8,12,16,20
ANSWER IS 20

LCM:
10:  see above numbers
6:  0,6,12,18,24,30
ANSWER IS 30

So, 10 and 8 would be 40

Answer:

Step-by-step explanation:

We have to find the LCM of the given numbers and match then with their options given.

LCM of 10 and 4

factors of 10 = 2 × 5

factors of 4 =  2 × 2

LCM = 2 × 5 × 2 = 20         Matches (C)

LCM of 10 and 6

factors of 10 = 2 × 5

factors of 6  = 2 × 3

LCM = 2 × 3 × 5 = 30           Matches (A)

LCM of 10 and 8

factors of 10 = 2 × 5

factors of 8 = 2 × 2 × 2

LCM = 2 × 5 × 2 × 2 = 40      Matches (B)

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