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CHAPTER-3: PLAYING WITH NUMBERS
SUBTOPIC: Lowest Common Multiple
LESSON NOTES-5
Lowest common multiple (LCM): The Lowest Common Multiple
(LCM) of two or more given numbers is the lowest (or smallest or least) of
their common multiples.
There are three methods to find out the LCM of two or more given numbers.
Method -1:By using the repeated division method.
Method -2: By using Prime factorization method.
Method -3: By listing out the multiples.
Method-1:By repeated division
Let us find the LCM of 20, 25 and 30.
Steps to be followed:
(A) Divide by the least prime number which divides any one of the given
numbers. Here, it is 2. The numbers like 25 are not divisible by 2 so they are
written as such in the next row.
(B) Again divide by 2. Continue this till we have no multiples of 2.
(C) Divide by next prime number which is 3.
(D) Divide by next prime number which is 5.
(E) Again divide by 5.