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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 589,833,478 ?

Given numbers are 589,833,478

We can find the LCD of numbers 589,833,478 by the prime factorization method or by applying the LCD formula.

The LCD of 589,833,478 is 234524486.


Method to Find Least Common Denominator of 589,833,478 with Prime Factorization

Given numbers has no common factors except 1. So, there LCD is their product i.e 234524486

LCD Formula to Find LCD of 589,833,478

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


Step1:

Find the GCF of 589 and 833. To find the GCF, list down the factors of 589 and 833 and select the highest factor that appears in both lists of factors.

589 : [1, 19, 31, 589]

833 : [1, 7, 17, 49, 119, 833]

From this, we can see that the GCF of 589 and 833 is 1.

Now, put this into the LCD formula.

LCD(589, 833) = ( 589 x 833 ) / 1

LCD(589, 833) = 490637 / 1

LCD(589, 833) = 490637


Step2:

Find the GCF of 490637 and 478. To find the GCF, list down the factors of 490637 and 478 and select the highest factor that appears in both lists of factors.

490637 : [1, 7, 17, 19, 31, 49, 119, 133, 217, 323, 527, 589, 833, 931, 1519, 2261, 3689, 4123, 10013, 15827, 25823, 28861, 70091, 490637]

478 : [1, 2, 239, 478]

From this, we can see that the GCF of 490637 and 478 is 1.

Now, put this into the LCD formula.

LCD(490637, 478) = ( 490637 x 478 ) / 1

LCD(490637, 478) = 234524486 / 1

LCD(490637, 478) = 234524486

LCD of 589,833,478 is 234524486

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 .