CALCULATOR

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## LCM Calculator

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INTRO

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A multiple of a given number is what you get when you multiply the given number by another number.

We can use the LCM to find a common denominator when adding and subtracting fractions. The LCM of the denominators is the least common denominator.Check out our or explore our and sections to learn more about how to find the least common multiple and test your understanding.

Since there is an infinite amount of numbers you can multiply by, there is an infinite amount of multiples for any number. The list goes on and on like magic .

For example, let’s take a look at multiples of $3$:

Multiples of $3$ |

The

__L__east__C__ommon__M__ultiple (LCM) is the smallest multiple two or more numbers have in common.Multiples of $3$ | $3,6,9,12,15,...$ |

Multiples of $4$ | $4,8,12,16,20,...$ |

When we organize the factors from least to greatest, we can easily see that the LCM of $3$ and $4$ is $12$.

### Least Common Denominator

$32 $$+$$41 $$=$$?$$128 $$+$$123 $$=$$1211 $

Calculator

Lesson

Practice

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KEY STEPS

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## How to Find the LCM

### Step 1. Remember what a multiple is.

A multiple is the product of a number with any other number.

### Step 2. Find the first multiple of each number.

We start by multiplying each number by $1$.

### Step 3. Find the next multiple of each number.

Multiply each number by the next integer.

### Step 4. Check for the least common multiple.

Look for a multiple that shows up for both numbers. If you don't see one, repeat Step 3. If you do see one, stop 🛑. This is the least common multiple.

LESSON

— Finding the LCM

PRACTICE

— Finding the LCM

CONCLUSION

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