Festivus asked in Science & MathematicsMathematics · 12 months ago

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

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• 12 months ago

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

• 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

• Como
Lv 7
12 months ago

-

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

• 12 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

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
Lv 7
12 months ago

Using prime factors the LCD or LCM is 60

• Elaine
Lv 7
12 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

• 12 months ago

The LCD of 6, 5, 4, and 3 is 1.

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

• ted s
Lv 7
12 months ago

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

• Jim
Lv 7
12 months ago

6 is 2x3

5

4 is 2x2

3

===

2x2x5x3=60

• Anonymous
12 months ago

Ummmmmmmmmmmmmmmmm