LCM of 30, 40 and 60
Calculator UseThe Least Common Multiple (LCM) is also referred to as the Lowest Common Multiple (LCM) and Least Common Divisor (LCD). For two integers a and b, denoted LCM(a,b), the LCM is the smallest positive integer that is evenly divisible by both a and b. For example, LCM(2,3) = 6 and LCM(6,10) = 30. Show
The LCM of two or more numbers is the smallest number that is evenly divisible by all numbers in the set. Least Common Multiple CalculatorFind the LCM of a set of numbers with this calculator which also shows the steps and how to do the work. Input the numbers you want to find the LCM for. You can use commas or spaces to separate your numbers. But do not use commas within your numbers. For example, enter 2500, 1000 and not 2,500, 1,000. How to Find the Least Common Multiple LCMThis LCM calculator with steps finds the LCM and shows the work using 6 different methods:
How to Find LCM by Listing Multiples
Example: LCM(6,7,21)
How to find LCM by Prime Factorization
The LCM(a,b) is calculated by finding the prime factorization of both a and b. Use the same process for the LCM of more than 2 numbers. For example, for LCM(12,30) we find:
For example, for LCM(24,300) we find:
How to find LCM by Prime Factorization using Exponents
Example: LCM(12,18,30)
Example: LCM(24,300)
How to Find LCM Using the Cake Method (Ladder Method)The cake method uses division to find the LCM of a set of numbers. People use the cake or ladder method as the fastest and easiest way to find the LCM because it is simple division. The cake method is the same as the ladder method, the box method, the factor box method and the grid method of shortcuts to find the LCM. The boxes and grids might look a little different, but they all use division by primes to find LCM. Find the LCM(10, 12, 15, 75)
How to Find the LCM Using the Division MethodFind the LCM(10, 18, 25)
How to Find LCM by GCFThe formula to find the LCM using the Greatest Common Factor GCF of a set of numbers is: LCM(a,b) = (a×b)/GCF(a,b) Example: Find LCM(6,10)
A factor is a number that results when you can evenly divide one number by another. In this sense, a factor is also known as a divisor. The greatest common factor of two or more numbers is the largest number shared by all the factors. The greatest common factor GCF is the same as:
How to Find the LCM Using Venn DiagramsVenn diagrams are drawn as overlapping circles. They are used to show common elements, or intersections, between 2 or more objects. In using Venn diagrams to find the LCM, prime factors of each number, we call the groups, are distributed among overlapping circles to show the intersections of the groups. Once the Venn diagram is completed you can find the LCM by finding the union of the elements shown in the diagram groups and multiplying them together. How to Find LCM of Decimal Numbers
Properties of LCMThe LCM is associative:LCM(a, b) = LCM(b, a) The LCM is commutative:LCM(a, b, c) = LCM(LCM(a, b), c) = LCM(a, LCM(b, c)) The LCM is distributive:LCM(da, db, dc) = dLCM(a, b, c) The LCM is related to the greatest common factor (GCF):LCM(a,b) = a × b / GCF(a,b) and GCF(a,b) = a × b / LCM(a,b) References[1] Zwillinger, D. (Ed.). CRC Standard Mathematical Tables and Formulae, 31st Edition, New York, NY: CRC Press, 2003 p. 101. [2] Weisstein, Eric W. Least Common Multiple. From MathWorld--A Wolfram Web Resource. What is the HCF of 30 40 and 60?The HCF of 30,40,50,60 is 10.
What is the LCM of 32 40 and 60?Calculate the LCM
The least common multiple of 32, 40 and 60 is 480.
What is the LCM of 20 40 and 60?The LCM of 20, 40 and 60 is 120.
What is the LCM of 30 45 and 60?The LCM of 30, 45 and 60 is 180.
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