Question

LCM by prime factorisation method
1. 10,15,6
2.16,12,18
3.25,30,40​

Answer 1

Answer:

For answer you need to see explanation:

Step-by-step explanation:

1.10,15,6

Prime factorization of the numbers:

10 = 2 × 5

15 = 3 × 5

6 = 2 × 3

LCM(10, 15, 6)

= 2 × 3 × 5

= 30

GCD(10, 15, 6) = 1

2.16,12,18

Prime factorization of the numbers:

16 = 2 × 2 × 2 × 2

12 = 2 × 2 × 3

18 = 2 × 3 × 3

LCM(16, 12, 18)

= 2 × 2 × 2 × 2 × 3 × 3

= 144

GCD(16, 12, 18) = 2

3.25,30,40

Prime factorization of the numbers:

25 = 5 × 5

30 = 2 × 3 × 5

40 = 2 × 2 × 2 × 5

LCM(25, 30, 40)

= 2 × 2 × 2 × 3 × 5 × 5

= 600

GCD(25, 30, 40) = 5