Question

Find the LCM of the following numbers by division method. 1.84.112. 196 ii. 102, 119, 153 mi. 45, 99, 132, 165​

Answer 1

Answer:

The Solutions are as follows: –

(i) 84, 112, 196

Solution: –

By division method

2 – 84, 112, 196

7 – 42, 56, 98

2 – 6, 8, 14

3, 4, 7

Thus, LCM ( 84, 112, 196) = 2*7*2*3*4*7 = 2352

(ii) 102, 119, 153

Solution: –

By division method

17 – 102, 119, 153

3 – 6, 7, 9

2 , 7, 3

Thus, LCM ( 102, 119, 153) = 17*3*2*7*3 = 2142

(iii) 45, 99, 132, 165

Solution: –

3 – 45, 99 , 132, 165

3 – 15, 33 , 44 , 55

5 – 5, 11, 44, 55

11 – 1, 11, 44, 11

1, 1, 4 , 1

Thus, LCM ( 45, 99, 132, 165 ) = 3*3*5*11*4 = 1980

Step-by-step explanation:

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Answer 2

The Solutions are as follows: –

(i) 84, 112, 196

Solution: –

By division method

2 – 84, 112, 196

7 – 42, 56, 98

2 – 6, 8, 14

3, 4, 7

Thus, LCM ( 84, 112, 196) = 2*7*2*3*4*7 = 2352

(ii) 102, 119, 153

Solution: –

By division method

17 – 102, 119, 153

3 – 6, 7, 9

2 , 7, 3

Thus, LCM ( 102, 119, 153) = 17*3*2*7*3 = 2142

(iii) 45, 99, 132, 165

Solution: –

3 – 45, 99 , 132, 165

3 – 15, 33 , 44 , 55

5 – 5, 11, 44, 55

11 – 1, 11, 44, 11

1, 1, 4 , 1

Thus, LCM ( 45, 99, 132, 165 ) = 3*3*5*11*4 = 1980