LCM Calculator LCM Calculator To understand Least Common multiple we have to understand about multiple first. When we can get a number by multiplication of certain combinations of other numbers, the numbers multiplied are called as multiples of the number. For example, multiples of 5 can be found out as: 5*2=10 5*3=15 5*4=20 5*5=25 So multiples of 5 are 5 , 10, 15 , 20, 25 ..... LCM means least Common Multiple .We will find LCM between two integers where it is denoted by LCM (a, b). LCM is a smallest digit divided by both the integers a and b.
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Common multiples are the common numbers in the multiples of two or more numbers and the Least among common multiples is called as Least Common Multiple . For finding LCM for numbers more than 2 we have to find the smallest integer divisible by all numbers We find LCM with the help of greatest common divisor called as GCD or with the Prime factorization method. LCM is used in adding and subtracting fraction values where LCM is used in making the denominator same which helps in addition and subtraction Steps involved in lcm calculator with the help of GCD are discussed below: Suppose we have to find the LCM of a , b (where both a and b are integers) Step1: Multiply the integers a*b Step2: Find the GCD of a, b Then LCM=a * b / GCD of (a, b) Some examples are explained below. Example 1: Find the LCM of (5, 10) Solution: First find the GCD (15, 10) = 5 Now calculate 15 * 10 = 150
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So, LCM (15, 10) = 150 / 5 LCM (15, 10) = 30 Example 2 : Find the LCM of (4 , 6). Solution : GCD = 2 LCM (4, 6) = 4 * 6 /2 LCM=24/2 LCM (4, 6) = 12 Example 3: Find the LCM (10, 6) Solution : GCD (10, 6) = 2 LCM= 10 * 6 / 2 LCM = 60 / 2 LCM=30 Example 4: Find the LCM of numbers 2, 8, 4 Solution: GCD (2, 8, 4) = 2 LCM = 2 * 8 * 4 = 64 LCM = 64 / 2 = 32 Now let us understand the LCM by Prime Factorization method.
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Published on Jul 14, 2012
To understand Least Common multiple we have to understand about multiple first. When we can get a number by multiplication of certain combin...