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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 905,642,447 ?

Given numbers are 905,642,447

We can find the LCD of numbers 905,642,447 by the prime factorization method or by applying the LCD formula.

The LCD of 905,642,447 is 86570490.


Method to Find Least Common Denominator of 905,642,447 with Prime Factorization

3 905, 642, 447
905, 214, 149

As you can see, now we have to multiply the prime numbers on the left side with the co-primes at the bottom.
3 x 905 x 214 x 149 = 86570490

Thus, we have determined that the LCD of 905,642,447 is 86570490

LCD Formula to Find LCD of 905,642,447

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


Step1:

Find the GCF of 905 and 642. To find the GCF, list down the factors of 905 and 642 and select the highest factor that appears in both lists of factors.

905 : [1, 5, 181, 905]

642 : [1, 2, 3, 6, 107, 214, 321, 642]

From this, we can see that the GCF of 905 and 642 is 1.

Now, put this into the LCD formula.

LCD(905, 642) = ( 905 x 642 ) / 1

LCD(905, 642) = 581010 / 1

LCD(905, 642) = 581010


Step2:

Find the GCF of 581010 and 447. To find the GCF, list down the factors of 581010 and 447 and select the highest factor that appears in both lists of factors.

581010 : [1, 2, 3, 5, 6, 10, 15, 30, 107, 181, 214, 321, 362, 535, 543, 642, 905, 1070, 1086, 1605, 1810, 2715, 3210, 5430, 19367, 38734, 58101, 96835, 116202, 193670, 290505, 581010]

447 : [1, 3, 149, 447]

From this, we can see that the GCF of 581010 and 447 is 3.

Now, put this into the LCD formula.

LCD(581010, 447) = ( 581010 x 447 ) / 3

LCD(581010, 447) = 259711470 / 3

LCD(581010, 447) = 86570490

LCD of 905,642,447 is 86570490

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 .