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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 363,976,475 ?

Given numbers are 363,976,475

We can find the LCD of numbers 363,976,475 by the prime factorization method or by applying the LCD formula.

The LCD of 363,976,475 is 168286800.


Method to Find Least Common Denominator of 363,976,475 with Prime Factorization

Given numbers has no common factors except 1. So, there LCD is their product i.e 168286800

LCD Formula to Find LCD of 363,976,475

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


Step1:

Find the GCF of 363 and 976. To find the GCF, list down the factors of 363 and 976 and select the highest factor that appears in both lists of factors.

363 : [1, 3, 11, 33, 121, 363]

976 : [1, 2, 4, 8, 16, 61, 122, 244, 488, 976]

From this, we can see that the GCF of 363 and 976 is 1.

Now, put this into the LCD formula.

LCD(363, 976) = ( 363 x 976 ) / 1

LCD(363, 976) = 354288 / 1

LCD(363, 976) = 354288


Step2:

Find the GCF of 354288 and 475. To find the GCF, list down the factors of 354288 and 475 and select the highest factor that appears in both lists of factors.

354288 : [1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 61, 66, 88, 121, 122, 132, 176, 183, 242, 244, 264, 363, 366, 484, 488, 528, 671, 726, 732, 968, 976, 1342, 1452, 1464, 1936, 2013, 2684, 2904, 2928, 4026, 5368, 5808, 7381, 8052, 10736, 14762, 16104, 22143, 29524, 32208, 44286, 59048, 88572, 118096, 177144, 354288]

475 : [1, 5, 19, 25, 95, 475]

From this, we can see that the GCF of 354288 and 475 is 1.

Now, put this into the LCD formula.

LCD(354288, 475) = ( 354288 x 475 ) / 1

LCD(354288, 475) = 168286800 / 1

LCD(354288, 475) = 168286800

LCD of 363,976,475 is 168286800

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 .