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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 487,166,192 ?

Given numbers are 487,166,192

We can find the LCD of numbers 487,166,192 by the prime factorization method or by applying the LCD formula.

The LCD of 487,166,192 is 7760832.


Method to Find Least Common Denominator of 487,166,192 with Prime Factorization

2 487, 166, 192
487, 83, 96

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 487 x 83 x 96 = 7760832

Thus, we have determined that the LCD of 487,166,192 is 7760832

LCD Formula to Find LCD of 487,166,192

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


Step1:

Find the GCF of 487 and 166. To find the GCF, list down the factors of 487 and 166 and select the highest factor that appears in both lists of factors.

487 : [1, 487]

166 : [1, 2, 83, 166]

From this, we can see that the GCF of 487 and 166 is 1.

Now, put this into the LCD formula.

LCD(487, 166) = ( 487 x 166 ) / 1

LCD(487, 166) = 80842 / 1

LCD(487, 166) = 80842


Step2:

Find the GCF of 80842 and 192. To find the GCF, list down the factors of 80842 and 192 and select the highest factor that appears in both lists of factors.

80842 : [1, 2, 83, 166, 487, 974, 40421, 80842]

192 : [1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192]

From this, we can see that the GCF of 80842 and 192 is 2.

Now, put this into the LCD formula.

LCD(80842, 192) = ( 80842 x 192 ) / 2

LCD(80842, 192) = 15521664 / 2

LCD(80842, 192) = 7760832

LCD of 487,166,192 is 7760832

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 .