LCD of 48, 456, 891 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 48, 456, 891 i.e. 270864 smallest integer divisible by all numbers.

LCD of 48, 456, 891 is 270864

LCD(48, 456, 891) = 270864

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

LCD of

LCD of numbers 48, 456, 891 is 270864

LCD(48, 456, 891) = 270864

LCD of 48,456,891 Calculator

LCD of 48,456,891 is 270864

Arrange the Inputs 48,456,891 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 48, 456, 891
2 24, 228, 891
2 12, 114, 891
3 6, 57, 891
2, 19, 297

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 2 x 3 x 2 x 19 x 297 = 270864

Therefore, LCD of 48,456,891 is 270864

Finding LCD of 48,456,891 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(48, 456) = 24

LCD(48, 456) = ( 48 x 456 ) / 24

LCD(48, 456) = 21888 / 24

LCD(48, 456) = 912


Step2:

Here we consider the LCD from the above i.e. 912 as first number and the next as 891

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

GCF(912, 891) = 3

LCD(912, 891) = ( 912 x 891 ) / 3

LCD(912, 891) = 812592 / 3

LCD(912, 891) = 270864

LCD of 48,456,891 is 270864

LCD of Numbers Calculation Examples

Frequently Asked Questions on LCD of 48, 456, 891

1. What is the LCD of 48, 456, 891?

Answer: LCD of 48, 456, 891 is 270864.

2. How to find LCD of 48, 456, 891 on a calculator?

Answer: You can find LCD of 48, 456, 891 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 48, 456, 891?

Least Common Denominator of 48, 456, 891.

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(48, 456, 891) = 270864.