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`

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2. Find LCM of 45,25 using Division Method

Solution:
Step-1: Divide the numbers by prime factors until the remainder is 1

3	45		25
3	15		25
5	5		25
5	1		5
	1		1

Step-2: Multiply all the divisors to obtain the LCM

LCM of `45,25=3 xx 3 xx 5 xx 5=225`

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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`

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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`

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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`

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