1. Find LCM of 30,40 using Division Method
Solution:
Step-1: Divide the numbers by prime factors until the remainder is 1
| 2 | 30 | | 40 |
| 2 | 15 | | 20 |
| 2 | 15 | | 10 |
| 3 | 15 | | 5 |
| 5 | 5 | | 5 |
| | 1 | | 1 |
Step-2: Multiply all the divisors to obtain the LCM
LCM of `30,40=2 xx 2 xx 2 xx 3 xx 5=120`
2. Find LCM of 45,25 using Division Method
Solution:
Step-1: Divide the numbers by prime factors until the remainder is 1
Step-2: Multiply all the divisors to obtain the LCM
LCM of `45,25=3 xx 3 xx 5 xx 5=225`
3. Find LCM of 50,120 using Division Method
Solution:
Step-1: Divide the numbers by prime factors until the remainder is 1
| 2 | 50 | | 120 |
| 2 | 25 | | 60 |
| 2 | 25 | | 30 |
| 3 | 25 | | 15 |
| 5 | 25 | | 5 |
| 5 | 5 | | 1 |
| | 1 | | 1 |
Step-2: Multiply all the divisors to obtain the LCM
LCM of `50,120=2 xx 2 xx 2 xx 3 xx 5 xx 5=600`
4. Find LCM of 400,140 using Division Method
Solution:
Step-1: Divide the numbers by prime factors until the remainder is 1
| 2 | 400 | | 140 |
| 2 | 200 | | 70 |
| 2 | 100 | | 35 |
| 2 | 50 | | 35 |
| 5 | 25 | | 35 |
| 5 | 5 | | 7 |
| 7 | 1 | | 7 |
| | 1 | | 1 |
Step-2: Multiply all the divisors to obtain the LCM
LCM of `400,140=2 xx 2 xx 2 xx 2 xx 5 xx 5 xx 7=2800`
5. Find LCM of 30,40,50,60 using Division Method
Solution:
Step-1: Divide the numbers by prime factors until the remainder is 1
| 2 | 30 | | 40 | | 50 | | 60 |
| 2 | 15 | | 20 | | 25 | | 30 |
| 2 | 15 | | 10 | | 25 | | 15 |
| 3 | 15 | | 5 | | 25 | | 15 |
| 5 | 5 | | 5 | | 25 | | 5 |
| 5 | 1 | | 1 | | 5 | | 1 |
| | 1 | | 1 | | 1 | | 1 |
Step-2: Multiply all the divisors to obtain the LCM
LCM of `30,40,50,60=2 xx 2 xx 2 xx 3 xx 5 xx 5=600`
This material is intended as a summary. Use your textbook for detail explanation.
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