To find LCD by prime numbers, you should A. take numerators and arrange in a row. B. first take denominators and arrange in a row. C. continue division until no prime number will divide into at least three numbers. D. divide numerators by the highest prime number.

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Question:

To find LCD by prime numbers, you should A. take numerators and arrange in a row. B. first take denominators and arrange in a row. C. continue division until no prime number will divide into at least three numbers. D. divide numerators by the highest prime number.

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Answer:

The correct option to find LCD by prime numbers is;

Option C; continue division until no prime number will divide into at least three numbers.

  • LCD simply means lowest common denominator. Now, when we are looking for lowest common denominator by prime numbers, we are simply trying to look for the least common denominator that is a product of the common prime factors of the numbers we are looking for LCD.
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Now, let’s say we want to find the LCD of;

1/12 + 1/54 + 1/90

Let us divide each by the first prime factor which is 2;

12/2 = 6

54/2 = 27

90/2 = 45

  • Now, we will repeat the division again using 2 again and we will continue using 2 and other relevant prime numbers in this process until no result is a product of more than 3 prime numbers.

Thus, the correct option is option C.

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