How to find LCM???????
Answers
Answer:
One way to find the least common multiple of two numbers is to first list the prime factors of each number. Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.
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Finding L.C.M.
To find the L.C.M. we find prime factors of the given numbers.
Remember, we consider common prime factors only.
Example: Find the L.C.M. of 12, 16 and 24.
First we find the prime factors of the given numbers.
Method of L.C.M.
12 = 2 × 2 × 3
16 = 2 × 2 × 2 × 2
24 = 2 × 2 × 2 × 2 × 3
(2 comes maximum 4 times and 3 comes maximum once only.)
L.C.M. = 2 × 2 × 2 × 2 × 3
= 48 which is the product of their prime factors.
We can also find the L.C.M. of the given numbers by dividing all the numbers at the same time by a number that divides at least two of the given numbers.
Find the L.C.M.
1. When a number is not exactly divisible, we write the number itself below the line.
2. When we cannot divide the numbers by a common factor exactly we discontinue dividing the numbers.
L.C.M. = 2 × 2 × 2 × 3 × 2 = 48