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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 694,330,702 ?

Given numbers are 694,330,702

We can find the LCD of numbers 694,330,702 by the prime factorization method or by applying the LCD formula.

The LCD of 694,330,702 is 13397670.


Method to Find Least Common Denominator of 694,330,702 with Prime Factorization

2 694, 330, 702
3 347, 165, 351
347, 55, 117

As you can see, now we have to multiply the prime numbers on the left side with the co-primes at the bottom.
2 x 3 x 347 x 55 x 117 = 13397670

Thus, we have determined that the LCD of 694,330,702 is 13397670

LCD Formula to Find LCD of 694,330,702

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


Step1:

Find the GCF of 694 and 330. To find the GCF, list down the factors of 694 and 330 and select the highest factor that appears in both lists of factors.

694 : [1, 2, 347, 694]

330 : [1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330]

From this, we can see that the GCF of 694 and 330 is 2.

Now, put this into the LCD formula.

LCD(694, 330) = ( 694 x 330 ) / 2

LCD(694, 330) = 229020 / 2

LCD(694, 330) = 114510


Step2:

Find the GCF of 114510 and 702. To find the GCF, list down the factors of 114510 and 702 and select the highest factor that appears in both lists of factors.

114510 : [1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330, 347, 694, 1041, 1735, 2082, 3470, 3817, 5205, 7634, 10410, 11451, 19085, 22902, 38170, 57255, 114510]

702 : [1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702]

From this, we can see that the GCF of 114510 and 702 is 6.

Now, put this into the LCD formula.

LCD(114510, 702) = ( 114510 x 702 ) / 6

LCD(114510, 702) = 80386020 / 6

LCD(114510, 702) = 13397670

LCD of 694,330,702 is 13397670

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 .