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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 878,813,402 ?

Given numbers are 878,813,402

We can find the LCD of numbers 878,813,402 by the prime factorization method or by applying the LCD formula.

The LCD of 878,813,402 is 47825538.


Method to Find Least Common Denominator of 878,813,402 with Prime Factorization

2 878, 813, 402
3 439, 813, 201
439, 271, 67

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 3 x 439 x 271 x 67 = 47825538

Thus, we have determined that the LCD of 878,813,402 is 47825538

LCD Formula to Find LCD of 878,813,402

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


Step1:

Find the GCF of 878 and 813. To find the GCF, list down the factors of 878 and 813 and select the highest factor that appears in both lists of factors.

878 : [1, 2, 439, 878]

813 : [1, 3, 271, 813]

From this, we can see that the GCF of 878 and 813 is 1.

Now, put this into the LCD formula.

LCD(878, 813) = ( 878 x 813 ) / 1

LCD(878, 813) = 713814 / 1

LCD(878, 813) = 713814


Step2:

Find the GCF of 713814 and 402. To find the GCF, list down the factors of 713814 and 402 and select the highest factor that appears in both lists of factors.

713814 : [1, 2, 3, 6, 271, 439, 542, 813, 878, 1317, 1626, 2634, 118969, 237938, 356907, 713814]

402 : [1, 2, 3, 6, 67, 134, 201, 402]

From this, we can see that the GCF of 713814 and 402 is 6.

Now, put this into the LCD formula.

LCD(713814, 402) = ( 713814 x 402 ) / 6

LCD(713814, 402) = 286953228 / 6

LCD(713814, 402) = 47825538

LCD of 878,813,402 is 47825538

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 .