# What is the LCD of 6, 5, 4, and 3?

Relevance
• The LCD of 6, 5, 4, and 3 is 60.

• The easiest way to determine the LCD is to use prime factorization on the numbers given

6 = 2*3

4 = 2*2

5 and 3 are prime (5 = 5*1 and 3 = 3*1)

LCD= 2*2*3*5 = 60

• -

Take multiples of 6 until a number is obtained that may be divided by 3 , 4 and 5

• Write down the prime factorization of each of the numbers:

6 = 2 * 3

5 = 5

4 = 2 * 2

3 = 3

Now look at each prime and figure out the minimum number of times you need each to appear to "cover" all the numbers.

You need the 2 to appear twice to "cover" 4 (and 6)

You need the 3 to appear once to "cover" 3 and 6

You need the 5 to appear once to "cover" 5.

2 * 2 * 3 * 5 = 60

LCD(6, 5, 4, 3) = LCM(6, 5, 4, 3) = 60

P.S. When you have fractions with different denominators (e.g. a/6 + b/5 + c/4 + d/3), you are looking for the LCD (lowest common denominator). That would be the lowest common multiple of the denominators. So LCD and LCM are treated as synonyms. I'm not sure why the thumbs down.

• Using prime factors the LCD or LCM is 60

• You can use prime factors

6 = 2 X 3

5 = 5 X 1

4 = 2 X 2

3 = 3 X 1

LCD

2 X 3 X 5 X 1 X 2 = 60

Another clue: You are looking for a number ending in 0 (based on 5 X table).  You are looking for an even number because of the 4 and the 6

• Puzzling
Lv 7
2 months agoReport

1 is not considered prime. You don't need it in your prime factoring. But your answer is correct.

• The LCD of 6, 5, 4, and 3 is 1.

LCM of 6, 5, 4, and 3 is 60.

• the LCD of the numbers is ' 1 ' but the LCM is ' 60 '...you do know what those symbols mean ??

• ted s
Lv 7
2 months agoReport

But in mathematics we need precise definitions....6/1, 5/1 ,3/1 , 2/1 are the numbers 6 , 5 , 3 , 2 so the LCD is 1...while the numbers 1 / 6 , 1 / 5 , 1 / 3 , 1 / 2 has an LCD of 60

• 6 is 2x3

5

4 is 2x2

3

===

2x2x5x3=60

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