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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 368,182,734 ?

Given numbers are 368,182,734

We can find the LCD of numbers 368,182,734 by the prime factorization method or by applying the LCD formula.

The LCD of 368,182,734 is 12290096.


Method to Find Least Common Denominator of 368,182,734 with Prime Factorization

2 368, 182, 734
184, 91, 367

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 184 x 91 x 367 = 12290096

Thus, we have determined that the LCD of 368,182,734 is 12290096

LCD Formula to Find LCD of 368,182,734

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


Step1:

Find the GCF of 368 and 182. To find the GCF, list down the factors of 368 and 182 and select the highest factor that appears in both lists of factors.

368 : [1, 2, 4, 8, 16, 23, 46, 92, 184, 368]

182 : [1, 2, 7, 13, 14, 26, 91, 182]

From this, we can see that the GCF of 368 and 182 is 2.

Now, put this into the LCD formula.

LCD(368, 182) = ( 368 x 182 ) / 2

LCD(368, 182) = 66976 / 2

LCD(368, 182) = 33488


Step2:

Find the GCF of 33488 and 734. To find the GCF, list down the factors of 33488 and 734 and select the highest factor that appears in both lists of factors.

33488 : [1, 2, 4, 7, 8, 13, 14, 16, 23, 26, 28, 46, 52, 56, 91, 92, 104, 112, 161, 182, 184, 208, 299, 322, 364, 368, 598, 644, 728, 1196, 1288, 1456, 2093, 2392, 2576, 4186, 4784, 8372, 16744, 33488]

734 : [1, 2, 367, 734]

From this, we can see that the GCF of 33488 and 734 is 2.

Now, put this into the LCD formula.

LCD(33488, 734) = ( 33488 x 734 ) / 2

LCD(33488, 734) = 24580192 / 2

LCD(33488, 734) = 12290096

LCD of 368,182,734 is 12290096

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 .