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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 194,783,722 ?

Given numbers are 194,783,722

We can find the LCD of numbers 194,783,722 by the prime factorization method or by applying the LCD formula.

The LCD of 194,783,722 is 54836622.


Method to Find Least Common Denominator of 194,783,722 with Prime Factorization

2 194, 783, 722
97, 783, 361

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 97 x 783 x 361 = 54836622

Thus, we have determined that the LCD of 194,783,722 is 54836622

LCD Formula to Find LCD of 194,783,722

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


Step1:

Find the GCF of 194 and 783. To find the GCF, list down the factors of 194 and 783 and select the highest factor that appears in both lists of factors.

194 : [1, 2, 97, 194]

783 : [1, 3, 9, 27, 29, 87, 261, 783]

From this, we can see that the GCF of 194 and 783 is 1.

Now, put this into the LCD formula.

LCD(194, 783) = ( 194 x 783 ) / 1

LCD(194, 783) = 151902 / 1

LCD(194, 783) = 151902


Step2:

Find the GCF of 151902 and 722. To find the GCF, list down the factors of 151902 and 722 and select the highest factor that appears in both lists of factors.

151902 : [1, 2, 3, 6, 9, 18, 27, 29, 54, 58, 87, 97, 174, 194, 261, 291, 522, 582, 783, 873, 1566, 1746, 2619, 2813, 5238, 5626, 8439, 16878, 25317, 50634, 75951, 151902]

722 : [1, 2, 19, 38, 361, 722]

From this, we can see that the GCF of 151902 and 722 is 2.

Now, put this into the LCD formula.

LCD(151902, 722) = ( 151902 x 722 ) / 2

LCD(151902, 722) = 109673244 / 2

LCD(151902, 722) = 54836622

LCD of 194,783,722 is 54836622

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 .