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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 882,569,563 ?

Given numbers are 882,569,563

We can find the LCD of numbers 882,569,563 by the prime factorization method or by applying the LCD formula.

The LCD of 882,569,563 is 282546054.


Method to Find Least Common Denominator of 882,569,563 with Prime Factorization

Given numbers has no common factors except 1. So, there LCD is their product i.e 282546054

LCD Formula to Find LCD of 882,569,563

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


Step1:

Find the GCF of 882 and 569. To find the GCF, list down the factors of 882 and 569 and select the highest factor that appears in both lists of factors.

882 : [1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882]

569 : [1, 569]

From this, we can see that the GCF of 882 and 569 is 1.

Now, put this into the LCD formula.

LCD(882, 569) = ( 882 x 569 ) / 1

LCD(882, 569) = 501858 / 1

LCD(882, 569) = 501858


Step2:

Find the GCF of 501858 and 563. To find the GCF, list down the factors of 501858 and 563 and select the highest factor that appears in both lists of factors.

501858 : [1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 569, 882, 1138, 1707, 3414, 3983, 5121, 7966, 10242, 11949, 23898, 27881, 35847, 55762, 71694, 83643, 167286, 250929, 501858]

563 : [1, 563]

From this, we can see that the GCF of 501858 and 563 is 1.

Now, put this into the LCD formula.

LCD(501858, 563) = ( 501858 x 563 ) / 1

LCD(501858, 563) = 282546054 / 1

LCD(501858, 563) = 282546054

LCD of 882,569,563 is 282546054

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 .