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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 916,356,499 ?

Given numbers are 916,356,499

We can find the LCD of numbers 916,356,499 by the prime factorization method or by applying the LCD formula.

The LCD of 916,356,499 is 40680476.


Method to Find Least Common Denominator of 916,356,499 with Prime Factorization

2 916, 356, 499
2 458, 178, 499
229, 89, 499

As you can see, now we have to multiply the prime numbers on the left side with the co-primes at the bottom.
2 x 2 x 229 x 89 x 499 = 40680476

Thus, we have determined that the LCD of 916,356,499 is 40680476

LCD Formula to Find LCD of 916,356,499

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


Step1:

Find the GCF of 916 and 356. To find the GCF, list down the factors of 916 and 356 and select the highest factor that appears in both lists of factors.

916 : [1, 2, 4, 229, 458, 916]

356 : [1, 2, 4, 89, 178, 356]

From this, we can see that the GCF of 916 and 356 is 4.

Now, put this into the LCD formula.

LCD(916, 356) = ( 916 x 356 ) / 4

LCD(916, 356) = 326096 / 4

LCD(916, 356) = 81524


Step2:

Find the GCF of 81524 and 499. To find the GCF, list down the factors of 81524 and 499 and select the highest factor that appears in both lists of factors.

81524 : [1, 2, 4, 89, 178, 229, 356, 458, 916, 20381, 40762, 81524]

499 : [1, 499]

From this, we can see that the GCF of 81524 and 499 is 1.

Now, put this into the LCD formula.

LCD(81524, 499) = ( 81524 x 499 ) / 1

LCD(81524, 499) = 40680476 / 1

LCD(81524, 499) = 40680476

LCD of 916,356,499 is 40680476

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 .