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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 442,247,465 ?

Given numbers are 442,247,465

We can find the LCD of numbers 442,247,465 by the prime factorization method or by applying the LCD formula.

The LCD of 442,247,465 is 3905070.


Method to Find Least Common Denominator of 442,247,465 with Prime Factorization

13 442, 247, 465
34, 19, 465

As you can see, now we have to multiply the prime numbers on the left side with the co-primes at the bottom.
13 x 34 x 19 x 465 = 3905070

Thus, we have determined that the LCD of 442,247,465 is 3905070

LCD Formula to Find LCD of 442,247,465

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


Step1:

Find the GCF of 442 and 247. To find the GCF, list down the factors of 442 and 247 and select the highest factor that appears in both lists of factors.

442 : [1, 2, 13, 17, 26, 34, 221, 442]

247 : [1, 13, 19, 247]

From this, we can see that the GCF of 442 and 247 is 13.

Now, put this into the LCD formula.

LCD(442, 247) = ( 442 x 247 ) / 13

LCD(442, 247) = 109174 / 13

LCD(442, 247) = 8398


Step2:

Find the GCF of 8398 and 465. To find the GCF, list down the factors of 8398 and 465 and select the highest factor that appears in both lists of factors.

8398 : [1, 2, 13, 17, 19, 26, 34, 38, 221, 247, 323, 442, 494, 646, 4199, 8398]

465 : [1, 3, 5, 15, 31, 93, 155, 465]

From this, we can see that the GCF of 8398 and 465 is 1.

Now, put this into the LCD formula.

LCD(8398, 465) = ( 8398 x 465 ) / 1

LCD(8398, 465) = 3905070 / 1

LCD(8398, 465) = 3905070

LCD of 442,247,465 is 3905070

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 .