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LCD of Calculator

Created By : Jatin Gogia
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Read this article to figure out how to calculate the lowest common denominator of . Learn the two different methods that you can use to find the LCD: the prime factorization method and the LCD formula method. We will explain both these methods in detail so stick around until the very end to understand. Utilise our free LCD Calculator to avail the LCD of numbers easily.

 

LCD of

How to Find LCD of 563,261,429 ?

Given numbers are 563,261,429

We can find the LCD of numbers 563,261,429 by the prime factorization method or by applying the LCD formula.

The LCD of 563,261,429 is 21012849.


Method to Find Least Common Denominator of 563,261,429 with Prime Factorization

3 563, 261, 429
563, 87, 143

As you can see, now we have to multiply the prime numbers on the left side with the co-primes at the bottom.
3 x 563 x 87 x 143 = 21012849

Thus, we have determined that the LCD of 563,261,429 is 21012849

LCD Formula to Find LCD of 563,261,429

The LCD formula is LCD(a,b) = ( a x b) / GCF(a,b)


Step1:

Find the GCF of 563 and 261. To find the GCF, list down the factors of 563 and 261 and select the highest factor that appears in both lists of factors.

563 : [1, 563]

261 : [1, 3, 9, 29, 87, 261]

From this, we can see that the GCF of 563 and 261 is 1.

Now, put this into the LCD formula.

LCD(563, 261) = ( 563 x 261 ) / 1

LCD(563, 261) = 146943 / 1

LCD(563, 261) = 146943


Step2:

Find the GCF of 146943 and 429. To find the GCF, list down the factors of 146943 and 429 and select the highest factor that appears in both lists of factors.

146943 : [1, 3, 9, 29, 87, 261, 563, 1689, 5067, 16327, 48981, 146943]

429 : [1, 3, 11, 13, 33, 39, 143, 429]

From this, we can see that the GCF of 146943 and 429 is 3.

Now, put this into the LCD formula.

LCD(146943, 429) = ( 146943 x 429 ) / 3

LCD(146943, 429) = 63038547 / 3

LCD(146943, 429) = 21012849

LCD of 563,261,429 is 21012849

LCD of Numbers Calculation Examples

Frequently Asked Questions on LCD of

1. What is the LCD of ?

Answer: LCD of is .

2. How to find LCD of using prime factorization ?

Answer: Just keep dividing by prime numbers until only co-primes are left over. At that point, simply multiply the co-primes with the prime numbers on the left. The answer will be , the LCD.

3. How to Find the LCD of using LCD formula ?

Answer: The LCD formula is LCD(a,b) = ( a x b) / GCF(a,b).

You must first calculate the LCD OF and . Then, find the LCD of that answer and and so on. The answer will be , which is the LCD of .