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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 350,674,340 ?

Given numbers are 350,674,340

We can find the LCD of numbers 350,674,340 by the prime factorization method or by applying the LCD formula.

The LCD of 350,674,340 is 4010300.


Method to Find Least Common Denominator of 350,674,340 with Prime Factorization

2 350, 674, 340
5 175, 337, 170
35, 337, 34

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 5 x 35 x 337 x 34 = 4010300

Thus, we have determined that the LCD of 350,674,340 is 4010300

LCD Formula to Find LCD of 350,674,340

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


Step1:

Find the GCF of 350 and 674. To find the GCF, list down the factors of 350 and 674 and select the highest factor that appears in both lists of factors.

350 : [1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350]

674 : [1, 2, 337, 674]

From this, we can see that the GCF of 350 and 674 is 2.

Now, put this into the LCD formula.

LCD(350, 674) = ( 350 x 674 ) / 2

LCD(350, 674) = 235900 / 2

LCD(350, 674) = 117950


Step2:

Find the GCF of 117950 and 340. To find the GCF, list down the factors of 117950 and 340 and select the highest factor that appears in both lists of factors.

117950 : [1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 337, 350, 674, 1685, 2359, 3370, 4718, 8425, 11795, 16850, 23590, 58975, 117950]

340 : [1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340]

From this, we can see that the GCF of 117950 and 340 is 10.

Now, put this into the LCD formula.

LCD(117950, 340) = ( 117950 x 340 ) / 10

LCD(117950, 340) = 40103000 / 10

LCD(117950, 340) = 4010300

LCD of 350,674,340 is 4010300

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 .