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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 413,774,785 ?

Given numbers are 413,774,785

We can find the LCD of numbers 413,774,785 by the prime factorization method or by applying the LCD formula.

The LCD of 413,774,785 is 250934670.


Method to Find Least Common Denominator of 413,774,785 with Prime Factorization

Given numbers has no common factors except 1. So, there LCD is their product i.e 250934670

LCD Formula to Find LCD of 413,774,785

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


Step1:

Find the GCF of 413 and 774. To find the GCF, list down the factors of 413 and 774 and select the highest factor that appears in both lists of factors.

413 : [1, 7, 59, 413]

774 : [1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774]

From this, we can see that the GCF of 413 and 774 is 1.

Now, put this into the LCD formula.

LCD(413, 774) = ( 413 x 774 ) / 1

LCD(413, 774) = 319662 / 1

LCD(413, 774) = 319662


Step2:

Find the GCF of 319662 and 785. To find the GCF, list down the factors of 319662 and 785 and select the highest factor that appears in both lists of factors.

319662 : [1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 43, 59, 63, 86, 118, 126, 129, 177, 258, 301, 354, 387, 413, 531, 602, 774, 826, 903, 1062, 1239, 1806, 2478, 2537, 2709, 3717, 5074, 5418, 7434, 7611, 15222, 17759, 22833, 35518, 45666, 53277, 106554, 159831, 319662]

785 : [1, 5, 157, 785]

From this, we can see that the GCF of 319662 and 785 is 1.

Now, put this into the LCD formula.

LCD(319662, 785) = ( 319662 x 785 ) / 1

LCD(319662, 785) = 250934670 / 1

LCD(319662, 785) = 250934670

LCD of 413,774,785 is 250934670

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 .