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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 142,985,823 ?

Given numbers are 142,985,823

We can find the LCD of numbers 142,985,823 by the prime factorization method or by applying the LCD formula.

The LCD of 142,985,823 is 115113010.


Method to Find Least Common Denominator of 142,985,823 with Prime Factorization

Given numbers has no common factors except 1. So, there LCD is their product i.e 115113010

LCD Formula to Find LCD of 142,985,823

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


Step1:

Find the GCF of 142 and 985. To find the GCF, list down the factors of 142 and 985 and select the highest factor that appears in both lists of factors.

142 : [1, 2, 71, 142]

985 : [1, 5, 197, 985]

From this, we can see that the GCF of 142 and 985 is 1.

Now, put this into the LCD formula.

LCD(142, 985) = ( 142 x 985 ) / 1

LCD(142, 985) = 139870 / 1

LCD(142, 985) = 139870


Step2:

Find the GCF of 139870 and 823. To find the GCF, list down the factors of 139870 and 823 and select the highest factor that appears in both lists of factors.

139870 : [1, 2, 5, 10, 71, 142, 197, 355, 394, 710, 985, 1970, 13987, 27974, 69935, 139870]

823 : [1, 823]

From this, we can see that the GCF of 139870 and 823 is 1.

Now, put this into the LCD formula.

LCD(139870, 823) = ( 139870 x 823 ) / 1

LCD(139870, 823) = 115113010 / 1

LCD(139870, 823) = 115113010

LCD of 142,985,823 is 115113010

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 .