Practice Finding LCM
Worksheet Description
Practice finding LCM with interactive worksheets. Solve 2 to 5 number problems, choose difficulty, and get instant feedback online.
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The Worksheet
The detailed description of the worksheet
Introduction
This worksheet provides interactive practice for finding the Least Common Multiple (LCM) of two or more integers. It helps learners build strong number sense and understand multiples through structured, self-correcting problems.
What Is Least Common Multiple (LCM)
The Least Common Multiple (LCM) of two or more numbers is the smallest number that is a multiple of all the given numbers.
For example, the LCM of 4 and 6 is 12, because 12 is the smallest number divisible by both 4 and 6.
Worksheet Features
This is an online, interactive, and self-correcting worksheet where learners enter answers directly in the browser.
- Generate 8, 16, or 24 problems per worksheet
- Each problem includes 2 to 5 integers
- Instant feedback for every answer
- No printing or downloading required
Configurable Practice Options
Learners can customize the worksheet based on their level and preference.
- Number Count: Choose 2, 3, 4, or 5 integers per problem.
- Difficulty Levels: Easy, Medium, or Hard.
Two Standard Methods to find LCM
1. Prime Factorization Method
- Break each number into its Prime factors
- Take the highest power of each Prime
- Multiply them together
2. Division (Ladder) Method
- Write numbers in a row
- Divide by common Prime numbers
- Continue until all become 1
- Multiply all divisors
Let's understand both these methods using the below examples.
Finding LCM using Prime Factorization Method
In the Prime Factorization method, each number is expressed as a product of its prime factors. The LCM is obtained by taking all prime factors with their highest powers (exponents).
10, 15, 28, 75 and 112
The Prime Factors
Presenting in tabular format grouped by the distinct Prime factors 2, 3, 5, 7.
Take only the highest powers (circled in green) once for each of the Prime Factor from the above.
24,
3,
52 and
7
The LCM is the product of the these Prime Factors with highest powers (exponents).
The LCM(10, 15, 28, 75, 112) is:
=24✕3✕52✕7
=2✕2✕2✕2✕3✕5✕5✕7
=8400
Finding LCM using Division Method
The Division method is a systematic way to find the LCM by dividing the numbers by common prime factors.
10, 15, 28, 75 and 112
| 2 | 10 | 15 | 28 | 75 | 112 |
| 2 | 5 | 15 | 14 | 75 | 56 |
| 2 | 5 | 15 | 7 | 75 | 28 |
| 2 | 5 | 15 | 7 | 75 | 14 |
| 3 | 5 | 15 | 7 | 75 | 7 |
| 5 | 5 | 5 | 7 | 25 | 7 |
| 5 | 1 | 1 | 7 | 5 | 7 |
| 7 | 1 | 1 | 7 | 1 | 7 |
| 1 | 1 | 1 | 1 | 1 |
The LCM is the product of all the Prime Numbers in the 1st column of the above table.
The LCM(10, 15, 28, 75, 112) is:
=2✕2✕2✕2✕3✕5✕5✕7
=8400
How to Work Through the Problems
For each problem, find the LCM of the given integers using any method you prefer.
Enter the final answer directly into the input box. No intermediate steps are required.
View Step-by-Step Solutions
Each problem includes a Solution link that opens an interactive online tool, Least Common Multiple (LCM) Calculator, showing the full step-by-step working for that specific problem.
You can also use the same tool independently by entering your own inputs directly. This lets you explore new problems, verify answers, and understand the method in detail — all in one place.
Use the Solution link for guided help, or go to the tool and try your own examples.
Online, Interactive, and Self-Correcting
This worksheet runs entirely in the browser.
As you enter answers, the system checks them instantly, helping you correct mistakes and build confidence quickly.