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##### Asked by: Amira Nive

video gaming music and party video games# What is the least common denominator of 3 4 and 5?

The

**LCM of 3**,**4**,**5 3**,**4**,**5**is 2⋅2⋅**3**⋅**5**=60 2 ⋅2⋅**3**⋅**5**= 60 .

Also know, what is the least common denominator of 3 4?

The **Least Common** Multiple (**LCM**) ofsomenumbers is the smallest number that the numbers are factorsof.Like the **LCM** of 3 and 4 is 12, because 12 is thesmallestnumber that 3 and 4 are both factors for.

**LCM**(least common multiple) of

**3 and5**is 15.

**3 and 5**have no factors in common. Thus, the

**LCMof 3 and 5**is just

**3 and 5**multiplied together,or

**3***

**5**, which is 15.

Then, how do I find the least common denominator?

**Here are the steps to follow:**

- Find the Least Common Multiple of the denominators (whichiscalled the Least Common Denominator).
- Change each fraction (using equivalent fractions) to maketheirdenominators the same as the least common denominator.
- Then add (or subtract) the fractions, as we wish!

Say we have listed the first few multiples of **4and5**: the **common** multiples are those that are found inbothlists: The multiples of **4**are:**4**,8,12,16,20,24,28,32,36,40,44, The multiples of**5**are: **5**,10,15,20,25,30,35,40,45,50,