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Example: 1/30 and 1/42

Factor them.

2 x 3 x 5 = 30

2 x 3 x 7 = 42

Combine the factors, eliminating duplicates.

2 x 3 x 5 x 7 = 210, the LCD

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What should you do To find LCD by prime numbers you should?

To find the least common denominator (LCD) using prime factorization, start by breaking down each denominator into its prime factors. Then, identify the unique prime factors across all denominators, taking the highest power of each prime factor. Multiply these together to get the LCD. This method ensures that the LCD is the smallest number that can be evenly divided by all the original denominators.


What is the LCD of 14 over 15 and 11 over 12?

To find the least common denominator (LCD) of the fractions 14/15 and 11/12, first identify the denominators: 15 and 12. The prime factorization of 15 is 3 × 5, and for 12, it is 2^2 × 3. The LCD is found by taking the highest power of each prime factor: 2^2 (from 12), 3 (from both), and 5 (from 15). Thus, the LCD is 2^2 × 3 × 5 = 60.


How can prime numbers be used in your everyday life?

Prime numbers are used to find the LCM of numbers Prime numbers are used to find the HCF of numbers Prime numbers are used to simplify fractions Prime numbers are used to find the LCD of fractions


What is the LCD of five sixtenth and one sixth?

To find the least common denominator (LCD) of five-sixteenths (5/16) and one-sixth (1/6), we need to determine the least common multiple (LCM) of the denominators 16 and 6. The prime factorization of 16 is (2^4) and for 6, it is (2^1 \times 3^1). The LCM takes the highest power of each prime, which gives us (2^4 \times 3^1 = 48). Therefore, the LCD of five-sixteenths and one-sixth is 48.


What is the LCD of 15 and 125?

375To find the Least Common Denominator (LCD) of 15 and 125 you could make a list of their multiples until you find a number common to both lists:15: 15, 30, 45, 60, 75, 90, 105, 120, 135, ....125: 125, 250, ...This method can sometimes be tedious. A more 'scientific method is to find the prime factorization of each number|15 = 3x5125 = 5x25 = 5x5x5The LCD has to have enough factors in it to make each of the numbers. There has to be 1 three and 3 fives.LCD = 3x5x5x5 = 3x125 = 375.


Find the LCD by dividing by prime numbers for 24 and 30?

24: 2 * 2 * 2 * 3 30: 2 * 3 * 5 LCD is 2^3 * 3 * 5 = 120


How do you calculate least common denominator?

The lowest common denominator (LCD) is also known as the least common multiple (LCM).The simple way to find the LCD of 2 numbers is to make a list of the multiples of each number until you find a number which is in both lists. For example, find the LCD of 12 and 28:12, 24, 36, 48, 60, 72, 84, ...28, 56, 84, ...The LCD is 84.Sometimes you have to make long lists, and this method gets tedious.The more technical method is to find the prime factorization of each number.12 = 2x2x328 = 2x2x7Notice that both numbers have 2x2, but we need a 3 to get a multiple of 12, and a 7 to get a multiple of 28. So you need 2 2's, a 3 and a 7:The LCD is 2x2x3x7 = 84.


How do you do the LCD on 11 and13?

Since they have no common prime factors, their GCF is 1 and their LCD (LCM) is their product, 143.


LCD of 11 and 17?

Since 11 and 17 are both prime, you multiply them together to get the LCD which comes out to be 187.


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What is lcd of 98 36 42?

To find the least common denominator (LCD) of the numbers 98, 36, and 42, we first determine their prime factorizations: 98 = 2 × 7^2 36 = 2^2 × 3^2 42 = 2 × 3 × 7 The LCD is obtained by taking the highest power of each prime number present in the factorizations. This gives us: LCD = 2^2 × 3^2 × 7^2 = 4 × 9 × 49 = 1764. Thus, the LCD of 98, 36, and 42 is 1764.


Do you need to find the LCD in multipliying?

When multiplying fractions, it is not necessary to find the LCD first.