What is the LCD of 6, 5, 4, and 3?
Please show work. Thanks!

answers:
drrckyee say: The LCD of 6, 5, 4, and 3 is 60.

JSG say: 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

Como say: 
Take multiples of 6 until a number is obtained that may be divided by 3 , 4 and 5
Answer is 60

Puzzling say: 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.

David say: Using prime factors the LCD or LCM is 60

Elaine say: 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

Krishnamurthy say: The LCD of 6, 5, 4, and 3 is 1.
LCM of 6, 5, 4, and 3 is 60.

ted s say: the LCD of the numbers is ' 1 ' but the LCM is ' 60 '...you do know what those symbols mean ??

Jim Moor say: 6 is 2x3
5
4 is 2x2
3
===
2x2x5x3=60

expert say: Ummmmmmmmmmmmmmmmm

Ray S say: 6, 5, 4, and 3
Generally, consider multiples of the greatest number given until you find one that works.
For this problem, that would be 6, 12, 18, 24, ...
But, there is a 5 to satisfy ... And, 5's only divide numbers that end in 5 or 0.
So, we can save time by considering multiples of 6×5 or 30.
Does 30 work? ... no
Does 60 work? ... yes
If 60 wouldn't have worked, you'd have tried 90, then 120, then 150 ...
ANSWER
60
