LCD of 510, 684, 567 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of LCD Calculator to determine the Least Common Denominator of 510, 684, 567 i.e. 3662820 smallest integer divisible by all numbers.

LCD of 510, 684, 567 is 3662820

LCD(510, 684, 567) = 3662820

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

LCD of

LCD of numbers 510, 684, 567 is 3662820

LCD(510, 684, 567) = 3662820

LCD of 510,684,567 Calculator

LCD of 510,684,567 is 3662820

Arrange the Inputs 510,684,567 in a horizontal line separated by commas and divide them with a prime number. Note the quotients in the next row and divide with quotients with prime numbers again. Continue the process until you have all co primes in the last.

2 510, 684, 567
3 255, 342, 567
3 85, 114, 189
85, 38, 63

As all the numbers left in the last row are co primes you need not do the common division process further.

To obtain the Least Common Denominator, multiply the prime numbers with which you have divided the given numbers and the co primes in the last row i.e. 2 x 3 x 3 x 85 x 38 x 63 = 3662820

Therefore, LCD of 510,684,567 is 3662820

Finding LCD of 510,684,567 using GCF Formula

Step1:

Let's calculate the LCD of first two numbers

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

GCF(510, 684) = 6

LCD(510, 684) = ( 510 x 684 ) / 6

LCD(510, 684) = 348840 / 6

LCD(510, 684) = 58140


Step2:

Here we consider the LCD from the above i.e. 58140 as first number and the next as 567

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

GCF(58140, 567) = 9

LCD(58140, 567) = ( 58140 x 567 ) / 9

LCD(58140, 567) = 32965380 / 9

LCD(58140, 567) = 3662820

LCD of 510,684,567 is 3662820

LCD of Numbers Calculation Examples

Frequently Asked Questions on LCD of 510, 684, 567

1. What is the LCD of 510, 684, 567?

Answer: LCD of 510, 684, 567 is 3662820.

2. How to find LCD of 510, 684, 567 on a calculator?

Answer: You can find LCD of 510, 684, 567 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.

3. How to Find the LCD of 510, 684, 567?

Least Common Denominator of 510, 684, 567.

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(510, 684, 567) = 3662820.