What is the LCD of 6, 5, 4, and 3?
Please show work. Thanks!
13 Answers
 12 months ago
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
 ComoLv 712 months ago

Take multiples of 6 until a number is obtained that may be divided by 3 , 4 and 5
Answer is 60
 PuzzlingLv 712 months ago
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
Answer:
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.
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 ElaineLv 712 months ago
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
 ted sLv 712 months ago
the LCD of the numbers is ' 1 ' but the LCM is ' 60 '...you do know what those symbols mean ??
 Anonymous12 months ago
Ummmmmmmmmmmmmmmmm