LCD of 138, 228, 414 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 138, 228, 414 i.e. 15732 smallest integer divisible by all numbers.

LCD of 138, 228, 414 is 15732

LCD(138, 228, 414) = 15732

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

LCD of

LCD of numbers 138, 228, 414 is 15732

LCD(138, 228, 414) = 15732

LCD of 138,228,414 Calculator

LCD of 138,228,414 is 15732

Arrange the Inputs 138,228,414 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.

2 138, 228, 414
3 69, 114, 207
23 23, 38, 69
1, 38, 3

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 23 x 1 x 38 x 3 = 15732

Therefore, LCD of 138,228,414 is 15732

Finding LCD of 138,228,414 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(138, 228) = 6

LCD(138, 228) = ( 138 x 228 ) / 6

LCD(138, 228) = 31464 / 6

LCD(138, 228) = 5244


Step2:

Here we consider the LCD from the above i.e. 5244 as first number and the next as 414

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

GCF(5244, 414) = 138

LCD(5244, 414) = ( 5244 x 414 ) / 138

LCD(5244, 414) = 2171016 / 138

LCD(5244, 414) = 15732

LCD of 138,228,414 is 15732

LCD of Numbers Calculation Examples

Frequently Asked Questions on LCD of 138, 228, 414

1. What is the LCD of 138, 228, 414?

Answer: LCD of 138, 228, 414 is 15732.

2. How to find LCD of 138, 228, 414 on a calculator?

Answer: You can find LCD of 138, 228, 414 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 138, 228, 414?

Least Common Denominator of 138, 228, 414.

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(138, 228, 414) = 15732.