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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 272,320,238 ?

Given numbers are 272,320,238

We can find the LCD of numbers 272,320,238 by the prime factorization method or by applying the LCD formula.

The LCD of 272,320,238 is 38080.


Method to Find Least Common Denominator of 272,320,238 with Prime Factorization

2 272, 320, 238
2 136, 160, 119
2 68, 80, 119
2 34, 40, 119
17 17, 20, 119
1, 20, 7

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 2 x 2 x 2 x 17 x 1 x 20 x 7 = 38080

Thus, we have determined that the LCD of 272,320,238 is 38080

LCD Formula to Find LCD of 272,320,238

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


Step1:

Find the GCF of 272 and 320. To find the GCF, list down the factors of 272 and 320 and select the highest factor that appears in both lists of factors.

272 : [1, 2, 4, 8, 16, 17, 34, 68, 136, 272]

320 : [1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320]

From this, we can see that the GCF of 272 and 320 is 16.

Now, put this into the LCD formula.

LCD(272, 320) = ( 272 x 320 ) / 16

LCD(272, 320) = 87040 / 16

LCD(272, 320) = 5440


Step2:

Find the GCF of 5440 and 238. To find the GCF, list down the factors of 5440 and 238 and select the highest factor that appears in both lists of factors.

5440 : [1, 2, 4, 5, 8, 10, 16, 17, 20, 32, 34, 40, 64, 68, 80, 85, 136, 160, 170, 272, 320, 340, 544, 680, 1088, 1360, 2720, 5440]

238 : [1, 2, 7, 14, 17, 34, 119, 238]

From this, we can see that the GCF of 5440 and 238 is 34.

Now, put this into the LCD formula.

LCD(5440, 238) = ( 5440 x 238 ) / 34

LCD(5440, 238) = 1294720 / 34

LCD(5440, 238) = 38080

LCD of 272,320,238 is 38080

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 .