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# The LCD for the fractions 1 over 3 3over 4 5 over 32 and 8 over 9 is it 24 64 288 or 3072?

Updated: 4/28/2022

Wiki User

16y ago

The LCD is the LCM (least common multiple) of all the denominators. The LCM of 3, 4, 32, and 9 is 288, which is the multiple of the highest power of prime factors from all of the given numbers (25 x 32 = 288). Prime factors: 3 = 3; 4 = 22; 32 = 25; 9 = 32 (highest power shown in bold type) The given fractions with an LCM would be 96/288, 216/288, 45/288, and 256/288.

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16y ago

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Q: The LCD for the fractions 1 over 3 3over 4 5 over 32 and 8 over 9 is it 24 64 288 or 3072?
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There are infinitely may fractions which are equal. One such is 72/288.

### The least common denominator for the fractions 1 over 3 3 over 4 5 over 32 and 8 over 9 is?

The LCD is the LCM (least common multiple) of all the denominators. The LCM of 3, 4, 32, and 9 is 288, which is the multiple of the highest power of prime factors from all of the given numbers (25 x 32 = 288). Prime factors: 3 = 3; 4 = 22; 32 = 25; 9 = 32 (highest power shown in bold type) The given fractions with an LCM would be 96/288, 216/288, 45/288, and 256/288.

288

288

288

288

288

### In your office18 of the 288 employees work part-time how many work part-time?

In fractions: 1/16 In percentage: 18/288 = 6%