Least Common Multiple(LCM) Calculator
Least Common Multiple (LCM) Calculator is a free online tool which can help you find out the Least Common Multiple of two or more than two numbers. Go ahead and fill the numbers and calculate the LCM of them.
What is LCM(Least Common Multiple) ?
LCM(Least Common Multiple) is a smallest number which is exactly divisible by all the given numbers.
We can also calculate the LCM of the numbers using GCD(Greatest Common Divisor) of the numbers using following formula.
For example:
We can also calculate the LCM of the numbers using GCD(Greatest Common Divisor) of the numbers using following formula.
For example:
LCM(10,20,30)=?
From the above table we came to know that 2,2,3 and 5 are the common multiples.
LCM(10,20,30)= 2 x 2 x 3 x 5 = 60
Hence, 60 is the smallest number which is exactly divisible by all the given numbers 10,20,30.
| 2 | 10 | 20 | 30 |
| 2 | 5 | 10 | 15 |
| 3 | 5 | 5 | 15 |
| 5 | 5 | 5 | 5 |
| 1 | 1 | 1 |
LCM(10,20,30)= 2 x 2 x 3 x 5 = 60
Hence, 60 is the smallest number which is exactly divisible by all the given numbers 10,20,30.
LCM(7,12,6)=?
From the above divison table we knew that lcm of 12 and 6 is being multiplied by 7.
If we have one or more prime numbers in the collection then they can be multiplied with the lcm of the remaining composite numbers.
Lcm(7,12,6)= 7 x LCM(12,6) = 7 x 12 = 84
| 2 | 7 | 12 | 6 |
| 2 | 7 | 6 | 3 |
| 3 | 7 | 3 | 3 |
| 7 | 7 | 1 | 1 |
| 1 | 1 | 1 |
If we have one or more prime numbers in the collection then they can be multiplied with the lcm of the remaining composite numbers.
Lcm(7,12,6)= 7 x LCM(12,6) = 7 x 12 = 84
Note :
If collection contains at least one prime number then that prime number can be multiplied later with the lcm of the remaining composite numbers.
If you are asked the LCM of numbers collection which contains all prime numbers then automatically you can write the LCM to be multiple of all of them. For example LCM(2,5,19)=2 x 5 x 19 = 190.
If collection contains at least one prime number then that prime number can be multiplied later with the lcm of the remaining composite numbers.
If you are asked the LCM of numbers collection which contains all prime numbers then automatically you can write the LCM to be multiple of all of them. For example LCM(2,5,19)=2 x 5 x 19 = 190.
