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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 496,831,183 ?

Given numbers are 496,831,183

We can find the LCD of numbers 496,831,183 by the prime factorization method or by applying the LCD formula.

The LCD of 496,831,183 is 25142736.


Method to Find Least Common Denominator of 496,831,183 with Prime Factorization

3 496, 831, 183
496, 277, 61

As you can see, now we have to multiply the prime numbers on the left side with the co-primes at the bottom.
3 x 496 x 277 x 61 = 25142736

Thus, we have determined that the LCD of 496,831,183 is 25142736

LCD Formula to Find LCD of 496,831,183

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


Step1:

Find the GCF of 496 and 831. To find the GCF, list down the factors of 496 and 831 and select the highest factor that appears in both lists of factors.

496 : [1, 2, 4, 8, 16, 31, 62, 124, 248, 496]

831 : [1, 3, 277, 831]

From this, we can see that the GCF of 496 and 831 is 1.

Now, put this into the LCD formula.

LCD(496, 831) = ( 496 x 831 ) / 1

LCD(496, 831) = 412176 / 1

LCD(496, 831) = 412176


Step2:

Find the GCF of 412176 and 183. To find the GCF, list down the factors of 412176 and 183 and select the highest factor that appears in both lists of factors.

412176 : [1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 48, 62, 93, 124, 186, 248, 277, 372, 496, 554, 744, 831, 1108, 1488, 1662, 2216, 3324, 4432, 6648, 8587, 13296, 17174, 25761, 34348, 51522, 68696, 103044, 137392, 206088, 412176]

183 : [1, 3, 61, 183]

From this, we can see that the GCF of 412176 and 183 is 3.

Now, put this into the LCD formula.

LCD(412176, 183) = ( 412176 x 183 ) / 3

LCD(412176, 183) = 75428208 / 3

LCD(412176, 183) = 25142736

LCD of 496,831,183 is 25142736

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 .