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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 229,889,259 ?

Given numbers are 229,889,259

We can find the LCD of numbers 229,889,259 by the prime factorization method or by applying the LCD formula.

The LCD of 229,889,259 is 7532497.


Method to Find Least Common Denominator of 229,889,259 with Prime Factorization

7 229, 889, 259
229, 127, 37

As you can see, now we have to multiply the prime numbers on the left side with the co-primes at the bottom.
7 x 229 x 127 x 37 = 7532497

Thus, we have determined that the LCD of 229,889,259 is 7532497

LCD Formula to Find LCD of 229,889,259

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


Step1:

Find the GCF of 229 and 889. To find the GCF, list down the factors of 229 and 889 and select the highest factor that appears in both lists of factors.

229 : [1, 229]

889 : [1, 7, 127, 889]

From this, we can see that the GCF of 229 and 889 is 1.

Now, put this into the LCD formula.

LCD(229, 889) = ( 229 x 889 ) / 1

LCD(229, 889) = 203581 / 1

LCD(229, 889) = 203581


Step2:

Find the GCF of 203581 and 259. To find the GCF, list down the factors of 203581 and 259 and select the highest factor that appears in both lists of factors.

203581 : [1, 7, 127, 229, 889, 1603, 29083, 203581]

259 : [1, 7, 37, 259]

From this, we can see that the GCF of 203581 and 259 is 7.

Now, put this into the LCD formula.

LCD(203581, 259) = ( 203581 x 259 ) / 7

LCD(203581, 259) = 52727479 / 7

LCD(203581, 259) = 7532497

LCD of 229,889,259 is 7532497

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 .