LCM Calculator - Multiple Input Support
getcalc.com's LCM Calculator to generate step-by-step solution using easiest method for finding the least common multiple of two or more integers or numbers. It includes solved examples for both two and three numbers, guiding users through each step of the calculation process.
- Find the LCM for two integers
- Find the LCM for three or more integers
- Generate step-by-step workouts for LCM problems
How to Find LCM of Two Numbers?
The below example with step-by-step solution helps to understand how to find lcm of two or more numbers. Use this LCM calculator to generate step-by-step solution for your LCM math problems involving LCM of two numbers or LCM of three numbers.
Problem :
Find the least common multiple of two numbers 10 and 15.
Solution :
step 1 Address input values.
Integers: 10 15
lcm (10, 15) = ?
step 2 Arrange the group of numbers in the horizontal form with space or comma separated format
10 and 15
step 3 Choose the divisor which divides each or most of the integers of in the group (10 and 15), divide each integers separately and write down the quotient in the next line right under the respective integers. Bring down the integer to the next line if the integer is not divisible by the divisor. Repeat the same process until all the integers are brought to 1.
| 5 | 10 | 15 |
| 2 | 2 | 3 |
| 3 | 1 | 3 |
| 1 | 1 |
5 x 2 x 3 = 30
LCM(10 15) = 30
The least common multiple for two numbers 10 and 15 is 30
How to find LCM of Three Numbers?
The below worrkout with step by step calculation may help users, grade school students or beginners to refer how to find what is the lcm of three numbers or integers. Users may generate the LCM workout for any three numbers by using this least common multiple calculator.
Problem :
How to find LCM of three numbers 6, 8 and 12?
Solution :
step 1 Address input values.
Integers: 6 8 12
LCM(6 8 12) = ?
step 2 Arrange the group of numbers in the horizontal form with space or comma separated format
6, 8 and 12
step 3 Choose the divisor which divides each or most of the integers of in the group (6, 8 and 12), divide each integers separately and write down the quotient in the next line right under the respective integers. Bring down the integer to the next line if the integer is not divisible by the divisor. Repeat the same process until all the integers are brought to 1.
| 2 | 6 | 8 | 12 |
| 3 | 3 | 4 | 6 |
| 2 | 1 | 4 | 2 |
| 2 | 1 | 2 | 1 |
| 1 | 1 | 1 |
2 x 3 x 2 x 2 = 24
LCM(6, 8, 12) = 24
The LCM of these three numbers 6, 8 and 12 is 24
LCM Definition
Least Common Multiple often abbreviated as LCM, also known as lowest or smallest common multiple, is a basic algebra function, generally a relative measure of smallest positive integer that is divisible by each one of the integers in a group of integers. It's an important function used to find the common denominators to perform addition, subtraction, comparison and simplification of two or more proper and improper fractions.
This calculator uses the division method which is one of the most easiest methods for beginners to find the LCM of any two or more integers. Users can find this LCM calculator more useful when solving unlike fractions addition and subtraction problems or finding the time they have to wait for two events to occur simultaneously. Similarly, users can find it very useful of this GCF Calculator when deal with problems involving largest divisor of numbers.
