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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 961,385,142 ?

Given numbers are 961,385,142

We can find the LCD of numbers 961,385,142 by the prime factorization method or by applying the LCD formula.

The LCD of 961,385,142 is 52537870.


Method to Find Least Common Denominator of 961,385,142 with Prime Factorization

Given numbers has no common factors except 1. So, there LCD is their product i.e 52537870

LCD Formula to Find LCD of 961,385,142

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


Step1:

Find the GCF of 961 and 385. To find the GCF, list down the factors of 961 and 385 and select the highest factor that appears in both lists of factors.

961 : [1, 31, 961]

385 : [1, 5, 7, 11, 35, 55, 77, 385]

From this, we can see that the GCF of 961 and 385 is 1.

Now, put this into the LCD formula.

LCD(961, 385) = ( 961 x 385 ) / 1

LCD(961, 385) = 369985 / 1

LCD(961, 385) = 369985


Step2:

Find the GCF of 369985 and 142. To find the GCF, list down the factors of 369985 and 142 and select the highest factor that appears in both lists of factors.

369985 : [1, 5, 7, 11, 31, 35, 55, 77, 155, 217, 341, 385, 961, 1085, 1705, 2387, 4805, 6727, 10571, 11935, 33635, 52855, 73997, 369985]

142 : [1, 2, 71, 142]

From this, we can see that the GCF of 369985 and 142 is 1.

Now, put this into the LCD formula.

LCD(369985, 142) = ( 369985 x 142 ) / 1

LCD(369985, 142) = 52537870 / 1

LCD(369985, 142) = 52537870

LCD of 961,385,142 is 52537870

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 .