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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 766,141,582 ?

Given numbers are 766,141,582

We can find the LCD of numbers 766,141,582 by the prime factorization method or by applying the LCD formula.

The LCD of 766,141,582 is 10476582.


Method to Find Least Common Denominator of 766,141,582 with Prime Factorization

2 766, 141, 582
3 383, 141, 291
383, 47, 97

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 3 x 383 x 47 x 97 = 10476582

Thus, we have determined that the LCD of 766,141,582 is 10476582

LCD Formula to Find LCD of 766,141,582

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


Step1:

Find the GCF of 766 and 141. To find the GCF, list down the factors of 766 and 141 and select the highest factor that appears in both lists of factors.

766 : [1, 2, 383, 766]

141 : [1, 3, 47, 141]

From this, we can see that the GCF of 766 and 141 is 1.

Now, put this into the LCD formula.

LCD(766, 141) = ( 766 x 141 ) / 1

LCD(766, 141) = 108006 / 1

LCD(766, 141) = 108006


Step2:

Find the GCF of 108006 and 582. To find the GCF, list down the factors of 108006 and 582 and select the highest factor that appears in both lists of factors.

108006 : [1, 2, 3, 6, 47, 94, 141, 282, 383, 766, 1149, 2298, 18001, 36002, 54003, 108006]

582 : [1, 2, 3, 6, 97, 194, 291, 582]

From this, we can see that the GCF of 108006 and 582 is 6.

Now, put this into the LCD formula.

LCD(108006, 582) = ( 108006 x 582 ) / 6

LCD(108006, 582) = 62859492 / 6

LCD(108006, 582) = 10476582

LCD of 766,141,582 is 10476582

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 .