What is the LCD of 6, 5, 4, and 3?
Please show work. Thanks!
13 Answers
 1 month 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 71 month ago

Take multiples of 6 until a number is obtained that may be divided by 3 , 4 and 5
Answer is 60
 PuzzlingLv 71 month 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.
 How do you think about the answers? You can sign in to vote the answer.
 ElaineLv 71 month 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 71 month ago
the LCD of the numbers is ' 1 ' but the LCM is ' 60 '...you do know what those symbols mean ??
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
1 is not considered prime. You don't need it in your prime factoring. But your answer is correct.