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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 749,822,565 ?

Given numbers are 749,822,565

We can find the LCD of numbers 749,822,565 by the prime factorization method or by applying the LCD formula.

The LCD of 749,822,565 is 347858070.


Method to Find Least Common Denominator of 749,822,565 with Prime Factorization

Given numbers has no common factors except 1. So, there LCD is their product i.e 347858070

LCD Formula to Find LCD of 749,822,565

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


Step1:

Find the GCF of 749 and 822. To find the GCF, list down the factors of 749 and 822 and select the highest factor that appears in both lists of factors.

749 : [1, 7, 107, 749]

822 : [1, 2, 3, 6, 137, 274, 411, 822]

From this, we can see that the GCF of 749 and 822 is 1.

Now, put this into the LCD formula.

LCD(749, 822) = ( 749 x 822 ) / 1

LCD(749, 822) = 615678 / 1

LCD(749, 822) = 615678


Step2:

Find the GCF of 615678 and 565. To find the GCF, list down the factors of 615678 and 565 and select the highest factor that appears in both lists of factors.

615678 : [1, 2, 3, 6, 7, 14, 21, 42, 107, 137, 214, 274, 321, 411, 642, 749, 822, 959, 1498, 1918, 2247, 2877, 4494, 5754, 14659, 29318, 43977, 87954, 102613, 205226, 307839, 615678]

565 : [1, 5, 113, 565]

From this, we can see that the GCF of 615678 and 565 is 1.

Now, put this into the LCD formula.

LCD(615678, 565) = ( 615678 x 565 ) / 1

LCD(615678, 565) = 347858070 / 1

LCD(615678, 565) = 347858070

LCD of 749,822,565 is 347858070

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 .