LCD of 42, 504, 412 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 42, 504, 412 i.e. 51912 smallest integer divisible by all numbers.

LCD of 42, 504, 412 is 51912

LCD(42, 504, 412) = 51912

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

LCD of

LCD of numbers 42, 504, 412 is 51912

LCD(42, 504, 412) = 51912

LCD of 42,504,412 Calculator

LCD of 42,504,412 is 51912

Arrange the Inputs 42,504,412 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 42, 504, 412
2 21, 252, 206
3 21, 126, 103
7 7, 42, 103
1, 6, 103

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 2 x 3 x 7 x 1 x 6 x 103 = 51912

Therefore, LCD of 42,504,412 is 51912

Finding LCD of 42,504,412 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(42, 504) = 42

LCD(42, 504) = ( 42 x 504 ) / 42

LCD(42, 504) = 21168 / 42

LCD(42, 504) = 504


Step2:

Here we consider the LCD from the above i.e. 504 as first number and the next as 412

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

GCF(504, 412) = 4

LCD(504, 412) = ( 504 x 412 ) / 4

LCD(504, 412) = 207648 / 4

LCD(504, 412) = 51912

LCD of 42,504,412 is 51912

LCD of Numbers Calculation Examples

Frequently Asked Questions on LCD of 42, 504, 412

1. What is the LCD of 42, 504, 412?

Answer: LCD of 42, 504, 412 is 51912.

2. How to find LCD of 42, 504, 412 on a calculator?

Answer: You can find LCD of 42, 504, 412 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 42, 504, 412?

Least Common Denominator of 42, 504, 412.

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(42, 504, 412) = 51912.