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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 530,443,216 ?

Given numbers are 530,443,216

We can find the LCD of numbers 530,443,216 by the prime factorization method or by applying the LCD formula.

The LCD of 530,443,216 is 25357320.


Method to Find Least Common Denominator of 530,443,216 with Prime Factorization

2 530, 443, 216
265, 443, 108

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 265 x 443 x 108 = 25357320

Thus, we have determined that the LCD of 530,443,216 is 25357320

LCD Formula to Find LCD of 530,443,216

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


Step1:

Find the GCF of 530 and 443. To find the GCF, list down the factors of 530 and 443 and select the highest factor that appears in both lists of factors.

530 : [1, 2, 5, 10, 53, 106, 265, 530]

443 : [1, 443]

From this, we can see that the GCF of 530 and 443 is 1.

Now, put this into the LCD formula.

LCD(530, 443) = ( 530 x 443 ) / 1

LCD(530, 443) = 234790 / 1

LCD(530, 443) = 234790


Step2:

Find the GCF of 234790 and 216. To find the GCF, list down the factors of 234790 and 216 and select the highest factor that appears in both lists of factors.

234790 : [1, 2, 5, 10, 53, 106, 265, 443, 530, 886, 2215, 4430, 23479, 46958, 117395, 234790]

216 : [1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216]

From this, we can see that the GCF of 234790 and 216 is 2.

Now, put this into the LCD formula.

LCD(234790, 216) = ( 234790 x 216 ) / 2

LCD(234790, 216) = 50714640 / 2

LCD(234790, 216) = 25357320

LCD of 530,443,216 is 25357320

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 .