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Home >> L.C.M >>

Least Common Multiple (LCM)

Prime Factorisation Method Division Method

Definition :-

Least Common Multiple (LCM)
of two or more given numbers is the smallest number which is divisible by all the given numbers.

In other words, LCM of two or more given numbers is the lowest of their common multiple.

Least Common Multiple is also known as Lowest Common Multiple

Least Common Multiple (LCM) is be calculated by two methods :-

  • Method 1 = Prime Factorisation Method

  • Method 2 = Division Method

    Explanation of both the methods is available in the above links


  • Study More Solved Questions / Examples

  • Three persons started walking together from a same point. Length of their steps is 20 m, 25 m & 30 m. Find the minimum distance after which each meet other again after walking from same starting point.
  • Find the least number which when divided by 12 & 18 leaves remainder 10 in each case.
  • Find a three digit number which is exactly divisible by 4, 8 & 12
  • Three electric bulbs blink after every 3 sec, 6 sec & 9 sec respectively. If all are switch on simultaneously. Find at what time; all will simultaneously blink again ?
  • Find the least number which is exactly divisible by 16, 24 & 12.
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