How to find LCD of on a calculator?

You can find LCD of by simply giving the inputs in the input field and clicking on the Calculator button next to it to get the concerned Least Common Denominator.

LCD of Calculator

Q: How to Find the LCD of ?

Least Common Denominator of . Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCD() = .

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.

How to Find LCD of 510,585,510 ?

Given numbers are 510,585,510

We can find the LCD of numbers 510,585,510 by the prime factorization method or by applying the LCD formula.

The LCD of 510,585,510 is 19890.

Method to Find Least Common Denominator of 510,585,510 with Prime Factorization

2	510, 585, 510
3	255, 585, 255
5	85, 195, 85
17	17, 39, 17
	1, 39, 1

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 5 x 17 x 1 x 39 x 1 = 19890

Thus, we have determined that the LCD of 510,585,510 is 19890

LCD Formula to Find LCD of 510,585,510

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

Step1:

Find the GCF of 510 and 585. To find the GCF, list down the factors of 510 and 585 and select the highest factor that appears in both lists of factors.

510 : [1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510]

585 : [1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585]

From this, we can see that the GCF of 510 and 585 is 15.

Now, put this into the LCD formula.

LCD(510, 585) = ( 510 x 585 ) / 15

LCD(510, 585) = 298350 / 15

LCD(510, 585) = 19890

Step2:

Find the GCF of 19890 and 510. To find the GCF, list down the factors of 19890 and 510 and select the highest factor that appears in both lists of factors.

19890 : [1, 2, 3, 5, 6, 9, 10, 13, 15, 17, 18, 26, 30, 34, 39, 45, 51, 65, 78, 85, 90, 102, 117, 130, 153, 170, 195, 221, 234, 255, 306, 390, 442, 510, 585, 663, 765, 1105, 1170, 1326, 1530, 1989, 2210, 3315, 3978, 6630, 9945, 19890]

510 : [1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510]

From this, we can see that the GCF of 19890 and 510 is 510.

Now, put this into the LCD formula.

LCD(19890, 510) = ( 19890 x 510 ) / 510

LCD(19890, 510) = 10143900 / 510

LCD(19890, 510) = 19890

LCD of 510,585,510 is 19890

LCD of Numbers Calculation Examples

Here are some samples of LCD of Numbers calculations.

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 .