LCD of 100, 212, 214 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 100, 212, 214 i.e. 567100 smallest integer divisible by all numbers.

LCD of 100, 212, 214 is 567100

LCD(100, 212, 214) = 567100

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

LCD of

LCD of numbers 100, 212, 214 is 567100

LCD(100, 212, 214) = 567100

LCD of 100,212,214 Calculator

LCD of 100,212,214 is 567100

Arrange the Inputs 100,212,214 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.

2 100, 212, 214
2 50, 106, 107
25, 53, 107

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 25 x 53 x 107 = 567100

Therefore, LCD of 100,212,214 is 567100

Finding LCD of 100,212,214 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(100, 212) = 4

LCD(100, 212) = ( 100 x 212 ) / 4

LCD(100, 212) = 21200 / 4

LCD(100, 212) = 5300


Step2:

Here we consider the LCD from the above i.e. 5300 as first number and the next as 214

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

GCF(5300, 214) = 2

LCD(5300, 214) = ( 5300 x 214 ) / 2

LCD(5300, 214) = 1134200 / 2

LCD(5300, 214) = 567100

LCD of 100,212,214 is 567100

LCD of Numbers Calculation Examples

Frequently Asked Questions on LCD of 100, 212, 214

1. What is the LCD of 100, 212, 214?

Answer: LCD of 100, 212, 214 is 567100.

2. How to find LCD of 100, 212, 214 on a calculator?

Answer: You can find LCD of 100, 212, 214 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 100, 212, 214?

Least Common Denominator of 100, 212, 214.

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(100, 212, 214) = 567100.