In each case, find the least common multiple of the numbers by division method.
Problem 1 :
4 and 6
Problem 2 :
2 and 3
Problem 3 :
4 and 5
Problem 4 :
3 and 6
Problem 5 :
12 and 18
Problem 6 :
24 and 60
Problem 7 :
4, 5 and 8
Problem 8 :
48, 72 and 108
Problem 9 :
4, 6, 8 and 12
Problem 10 :
2, 3, 4 and 5
Problem 11 :
2, 4, 5 and 8
Problem 12 :
3, 6, 7 and 14
1. Answer :
4 and 6
Using L division, divide both the numbers by a common divisor. Continue this process, until you get a common divisor for both the numbers.
The least common multiple of 4 and 6 is
= 2 x 2 x 3
= 12
2. Answer :
2 and 3
There is no common divisor for both 2 and 3 other than 1.
So, the least common multiple of 2 and 3 is
= 2 x 3
= 6
3. Answer :
4 and 5
There is no common divisor for both 4 and 5 other than 1.
So, the least common multiple of 4 and 5 is
= 4 x 5
= 20
4. Answer :
3 and 6
Using L division, divide both the numbers by a common divisor. Continue this process, until you get a common divisor for both the numbers.
The least common multiple of 4 and 6 is
= 3 x 1 x 2
= 6
5. Answer :
12 and 18
Using L division, divide both the numbers by a common divisor. Continue this process, until you get a common divisor for both the numbers.
The least common multiple of 12 and 18 is
= 2 x 3 x 2 x 3
= 36
6. Answer :
24 and 60
Using L division, divide both the numbers by a common divisor. Continue this process, until you get a common divisor for both the numbers.
The least common multiple of 24 and 60 is
= 2 x 2 x 3 x 2 x 5
= 120
7. Answer :
4, 5 and 8
Using L division, divide the given numbers by a common divisor. Continue this process, until you get a common divisor at least for any of the two numbers.
The least common multiple of 4, 5 and 8 is
= 2 x 2 x 1 x 5 x 2
= 40
8. Answer :
48, 72 and 108
Using L division, divide the given numbers by a common divisor. Continue this process, until you get a common divisor at least for any of the two numbers.
The least common multiple of 48, 72 and 108 is
= 2 x 2 x 3 x 2 x 3 x 2 x 1 x 3
= 432
9. Answer :
4, 6, 8 and 12
Using L division, divide the given numbers by a common divisor. Continue this process, until you get a common divisor at least for any of the two numbers.
The least common multiple of 4, 6, 8 and 12 is
= 2 x 2 x 3 x 1 x 1 x 2 x 1
= 24
10. Answer :
2, 3, 4 and 5
Using L division, divide the given numbers by a common divisor. Continue this process, until you get a common divisor at least for any of the two numbers.
The least common multiple of 2, 3, 4 and 5 is
= 2 x 1 x 3 x 2 x 5
= 60
11. Answer :
2, 4, 5 and 8
Using L division, divide the given numbers by a common divisor. Continue this process, until you get a common divisor at least for any of the two numbers.
The least common multiple of 2, 4, 5 and 8 is
= 2 x 2 x 1 x 1 x 5 x 2
= 40
12. Answer :
3, 6, 7 and 14
Using L division, divide the given numbers by a common divisor. Continue this process, until you get a common divisor at least for any of the two numbers.
The least common multiple of 3, 6, 7 and 14 is
= 3 x 7 x 2 x 1 x 1 x 1 x 1
= 42
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