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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 732,514,855 ?

Given numbers are 732,514,855

We can find the LCD of numbers 732,514,855 by the prime factorization method or by applying the LCD formula.

The LCD of 732,514,855 is 53615340.


Method to Find Least Common Denominator of 732,514,855 with Prime Factorization

2 732, 514, 855
3 366, 257, 855
122, 257, 285

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 122 x 257 x 285 = 53615340

Thus, we have determined that the LCD of 732,514,855 is 53615340

LCD Formula to Find LCD of 732,514,855

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


Step1:

Find the GCF of 732 and 514. To find the GCF, list down the factors of 732 and 514 and select the highest factor that appears in both lists of factors.

732 : [1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732]

514 : [1, 2, 257, 514]

From this, we can see that the GCF of 732 and 514 is 2.

Now, put this into the LCD formula.

LCD(732, 514) = ( 732 x 514 ) / 2

LCD(732, 514) = 376248 / 2

LCD(732, 514) = 188124


Step2:

Find the GCF of 188124 and 855. To find the GCF, list down the factors of 188124 and 855 and select the highest factor that appears in both lists of factors.

188124 : [1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 257, 366, 514, 732, 771, 1028, 1542, 3084, 15677, 31354, 47031, 62708, 94062, 188124]

855 : [1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855]

From this, we can see that the GCF of 188124 and 855 is 3.

Now, put this into the LCD formula.

LCD(188124, 855) = ( 188124 x 855 ) / 3

LCD(188124, 855) = 160846020 / 3

LCD(188124, 855) = 53615340

LCD of 732,514,855 is 53615340

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 .