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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 782,919,818 ?

Given numbers are 782,919,818

We can find the LCD of numbers 782,919,818 by the prime factorization method or by applying the LCD formula.

The LCD of 782,919,818 is 293931122.


Method to Find Least Common Denominator of 782,919,818 with Prime Factorization

2 782, 919, 818
391, 919, 409

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 391 x 919 x 409 = 293931122

Thus, we have determined that the LCD of 782,919,818 is 293931122

LCD Formula to Find LCD of 782,919,818

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


Step1:

Find the GCF of 782 and 919. To find the GCF, list down the factors of 782 and 919 and select the highest factor that appears in both lists of factors.

782 : [1, 2, 17, 23, 34, 46, 391, 782]

919 : [1, 919]

From this, we can see that the GCF of 782 and 919 is 1.

Now, put this into the LCD formula.

LCD(782, 919) = ( 782 x 919 ) / 1

LCD(782, 919) = 718658 / 1

LCD(782, 919) = 718658


Step2:

Find the GCF of 718658 and 818. To find the GCF, list down the factors of 718658 and 818 and select the highest factor that appears in both lists of factors.

718658 : [1, 2, 17, 23, 34, 46, 391, 782, 919, 1838, 15623, 21137, 31246, 42274, 359329, 718658]

818 : [1, 2, 409, 818]

From this, we can see that the GCF of 718658 and 818 is 2.

Now, put this into the LCD formula.

LCD(718658, 818) = ( 718658 x 818 ) / 2

LCD(718658, 818) = 587862244 / 2

LCD(718658, 818) = 293931122

LCD of 782,919,818 is 293931122

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 .