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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 935,685,629 ?

Given numbers are 935,685,629

We can find the LCD of numbers 935,685,629 by the prime factorization method or by applying the LCD formula.

The LCD of 935,685,629 is 4739515.


Method to Find Least Common Denominator of 935,685,629 with Prime Factorization

5 935, 685, 629
17 187, 137, 629
11, 137, 37

As you can see, now we have to multiply the prime numbers on the left side with the co-primes at the bottom.
5 x 17 x 11 x 137 x 37 = 4739515

Thus, we have determined that the LCD of 935,685,629 is 4739515

LCD Formula to Find LCD of 935,685,629

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


Step1:

Find the GCF of 935 and 685. To find the GCF, list down the factors of 935 and 685 and select the highest factor that appears in both lists of factors.

935 : [1, 5, 11, 17, 55, 85, 187, 935]

685 : [1, 5, 137, 685]

From this, we can see that the GCF of 935 and 685 is 5.

Now, put this into the LCD formula.

LCD(935, 685) = ( 935 x 685 ) / 5

LCD(935, 685) = 640475 / 5

LCD(935, 685) = 128095


Step2:

Find the GCF of 128095 and 629. To find the GCF, list down the factors of 128095 and 629 and select the highest factor that appears in both lists of factors.

128095 : [1, 5, 11, 17, 55, 85, 137, 187, 685, 935, 1507, 2329, 7535, 11645, 25619, 128095]

629 : [1, 17, 37, 629]

From this, we can see that the GCF of 128095 and 629 is 17.

Now, put this into the LCD formula.

LCD(128095, 629) = ( 128095 x 629 ) / 17

LCD(128095, 629) = 80571755 / 17

LCD(128095, 629) = 4739515

LCD of 935,685,629 is 4739515

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 .