L.C.M Using Listing Out Multiples Method:
The
Steps to find L.C.M by using Listing Out Multiples method are:
(i) We need to find out the Multiples of the given
numbers. First write the first 10 multiples of the given numbers.If the common
multiple is not found, the write up to next 10 multiples. Repeat the multiples
till common multiple is found.
(ii) The
Common Multiples of the numbers are taken out.
(iii) The Least or Smallest Multiple in those
Common Multiples is the L.C.M.
Find
the L.C.M of numbers using Listing out multiples:
1)
3 , 4.
Answer:
Step-1:
Multiples of the given numbers:
Multiples of 3 = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30.
Multiples of 4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40.
Step-2:
The common multiples of the given numbers are = 12, 24.
Step-3:
The Smallest Common Multiple in 12 and 24 is 12.
Therefore, L.C.M of 3, 4 = 12.
2)
8, 7.
Answer:
Step-1:
Multiples of the given numbers:
Multiples of 8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80.
Multiples of 7 = 7, 14, 21, 28, 35, 42, 49, 56,
63, 70.
Step-2:
The common multiples of the given numbers for first 10 multiples=
56.
Step-3:
The Smallest Common Multiple is 56.
Therefore, L.C.M of 8, 7 = 56.
3)
2, 8, 10.
Answer:
Step-1:
Multiples of the given numbers:
Multiples of 2 = 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22,
24, 26, 28, 30, 32, 34, 36, 38, 40.
Multiples of 8 = 8, 16, 24, 32, 40,
48, 56, 64, 72, 80.
Multiples of 10 = 10, 20, 30, 40, 50, 60, 70, 80,
90, 100.
Step-2:
The common multiples of the given numbers = 40.
Step-3:
The Smallest Common Multiple is 40.
Therefore, L.C.M of 2, 8, 10 = 40.
4)
10, 20 25.
Answer:
Step-1:
Multiples of the given numbers:
Multiples of 10 = 10, 20, 30, 40,
50, 60, 70, 80, 90, 100.
Multiples of 20 = 20, 40, 60, 80, 100, 120,
140, 160, 180, 200.
Multiples of 25 = 25, 50, 75, 100, 125, 150, 175, 200, 225, 250.
Step-2:
The common multiples of the given numbers= 100.
Step-3:
The Smallest Common Multiple is 100.
Therefore, L.C.M of 10, 20, 25 = 100.
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