What is the least common denominator of 3, 4, 6, and 8?

Question

What is the least common denominator of 3, 4, 6, and 8?

Answer 1

To find the Least Common Denominator:

Find the Greatest Common Factor of the denominators

Multiply the denominators together

Divide the product of the denominators by the Greatest Common Factor.

Example: Find the LCD of 2/9 and 3/12

Determine the Greatest Common Factor of 9 and 12 which is 3

Either multiply the denominators and divide by the GCF (9*12=108, 108/3=36)

OR - Divide one of the denominators by the GCF and multiply the quotient times the other denominator (9/3=3, 3*12=36)

To rename fractions and use the Least Common Denominator:

Divide the LCD by one denominator.

Multiply the numerator times this quotient.

Repeat the process for the other fraction(s)

2/9 + 3/12

LCD is 36

First fraction (2/9): 36/9 = 4, 4*2 = 8, first fraction is renamed as 8/36

Second fraction (3/12): 36/12 = 3, 3*3 = 9, second fraction is renamed as 9/36

It is possible to add or subtract fractions that have the same denominator

8/36 + 9/36 = 17/36

Answer 2

24

3 = 3*1

4 = 2²

6 = 2*3

8 = 2³

LCD = 1*3*2³ = 24

Answer 3

3.1415926

Answer 4

You mean lowest common denominator.

First you find the Prime factors

3= 3*1 or 3

4= 2^2

6= 3*2

8= 2^3

So you use the highest power of all the prime factors used:

So 3^1 or 3 times 2^3, or 3 * 2 ^ 3 = 3 * 8 = 24 BTW, you could have removed 4 and one of 3 and 6 and still get the same answer.

Answer 5

24

Answer 6

are those denominators?  Because right now, the denominator of 3 is 1 (because 3 = 3/1), so the answer would be 1.

If those 4 numbers are denominators....

Ex: 1/3, 1/4, 1/6, 1/8

The LCD would be 24:

3 = 3, 6, 9, 12, 15, 18, 21, 24, 27....

4 = 4, 8, 12, 16, 20, 24, 28....

6 = 6, 12, 18, 24, 30...

8 = 8, 16, 24, 32....

The first number that appears in ALL lists is 24.

Answer 7

3

4 = 2*2

6 = 2*3

8 = 2*2*2

so the LCD=3 * 2^3 = 24