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5,3,4, and 2 have many common denominators. What is the least common denominator of all of them?

Let's look at the multiples of each number. We do this because common denominators are really common multiples of the denominators. And the LCD is really just the least common multiple (LCM) of the denominators.

Starting with 2, the 3, and 4 and last 5 we have the following lists of multiples:

2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48,50,52,54,56,68,60

3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48,51,54,57,60

4,8,12,16,20,24,28,32,36,40,44,48,52, 56,60

5,10,15,20,25,30,35,40,45,50,55,60

So 60 is the first common multiple and it is the least common denominator of 2, 3, 4 and 5. Note that we could also factor 2, 3, 4 and 5 into primes (2, 3 and 5 already are) So we have 2, 3, 2^2 and 5 We take the largest exponent possible from each and we have 3 x 2^2 x 5 = 20 x 3 = 60. This is the faster way to do this.

Q: What is a common denomonator for 5 3 4 and 2?

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As for example in the fraction 3/4 the denominator is 4 and the numerator is 3

its 1/4 duh! because 1/2 is equivalent to 2/4 and 3/4 minus 2/4 is 1/4 see? 3-2 is 1 and 4 (the denomonator) stays the same.

The common factor of 2 and 3 is: 1 The common factor of 3 and 4 is: 1 The common factors of 2 and 4 are: 1 and 2 The common factor or 2, 3 and 4 is: 1

For 3/4 and 2/3 the LCD is 12.

The LCD for 3/4 and 1/2 is 4.

Related questions

As for example in the fraction 3/4 the denominator is 4 and the numerator is 3

its 1/4 duh! because 1/2 is equivalent to 2/4 and 3/4 minus 2/4 is 1/4 see? 3-2 is 1 and 4 (the denomonator) stays the same.

The common factor of 2 and 3 is: 1 The common factor of 3 and 4 is: 1 The common factors of 2 and 4 are: 1 and 2 The common factor or 2, 3 and 4 is: 1

You can use any common multiple of 2 and 4. The easiest (for subsequent calculations) to use is the lowest common multiple, which for 2 and 4 is 4. → 1/2 = 2/4 → 3/4 = 3/4 (it already has 4 in the denominator)

The least common denominator for 3/4 and 2/3 is 12 3/4 = 9/12 and 2/3 = 8/12

The least common multiple of 2 , 3 , 4 = 12

The lowest common multiple of 2, 3, and 4, is 12.

The least common multiple of 2 , 3 , 4 = 12

2, 3, 4 and 9 have only one common factor: 1

For 3/4 and 2/3 the LCD is 12.

The LCD for 3/4 and 1/2 is 4.

121212/2=612/3=412/4=3