Question

Find the LCM of the numbers given below:
1. 42, 63
2. 60, 75
5. 36, 40, 126
6. 16, 28, 40, 77
9. 48, 64, 72, 96, 108
3. 12, 18, 20
7. 28, 36, 45, 60

in detail​

Answer 1

Answer:

1)=126,2)=300,5)2520,6)=6160,9)1728,3)=180,7)1260.

Step-by-step explanation:

1) 2 42,63

3 21,63

3 7,21

7 7,7

1,1.

Lcm = 2×3×3×7 = 126

2) 2 60,75

2 30,75

3 15,75

5 5,25

5 1,5

1,1.

Lcm = 2×2×3×5×5= 300.

5) 2 36,40,126

2 18,20,63

2 9,10,63

3 9,5,63

3 3,5,21

5 1,5,7

7 1,1,7

1,1,1.

Lcm = 2×2×2×3×3×5×7=2520.

6) 2 16,28,40,77

2 8,14,20,77

2 4,7,10,77

2 2,7,5,77

5 1,7,5,77

7 1,7,1,77

11 1,1,1,11

1,1,1,1

Lcm= 2×2×2×2×5×7×11 = 6160.

9) 2 48,64,72,96,108

2 24,32,36,48,54

2 12,16,18,24,27

2 6,8,9,12,27

2 3,4,9,6,27

2 3,2,9,3,27

3 3,1,9,3,27

3 1,1,3,1,9

3 1,1,1,1,3

1,1,1,1,1.

Lcm = 2^6×3^3=1728.

3) 2 12,18,20

2 6,9,10

3 3,9,5

3 1,3,5

5 1,1,5

1,1,1.

Lcm = 2×2×3×3×5 = 180.

7) 2 28,36,45,60

2 14,18,45,30

3 7,9,45,15

3 7,3,15,5

5 7,1,5,5

7 7,1,1,1

1,1,1,1.

Lcm = 2×2×3×3×5×7 = 1260.