LCD of 74, 57, 21 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 74, 57, 21 i.e. 29526 smallest integer divisible by all numbers.

LCD of 74, 57, 21 is 29526

LCD(74, 57, 21) = 29526

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

LCD of

LCD of numbers 74, 57, 21 is 29526

LCD(74, 57, 21) = 29526

LCD of 74,57,21 Calculator

LCD of 74,57,21 is 29526

Arrange the Inputs 74,57,21 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.

3 74, 57, 21
74, 19, 7

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. 3 x 74 x 19 x 7 = 29526

Therefore, LCD of 74,57,21 is 29526

Finding LCD of 74,57,21 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(74, 57) = 1

LCD(74, 57) = ( 74 x 57 ) / 1

LCD(74, 57) = 4218 / 1

LCD(74, 57) = 4218


Step2:

Here we consider the LCD from the above i.e. 4218 as first number and the next as 21

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

GCF(4218, 21) = 3

LCD(4218, 21) = ( 4218 x 21 ) / 3

LCD(4218, 21) = 88578 / 3

LCD(4218, 21) = 29526

LCD of 74,57,21 is 29526

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Frequently Asked Questions on LCD of 74, 57, 21

1. What is the LCD of 74, 57, 21?

Answer: LCD of 74, 57, 21 is 29526.

2. How to find LCD of 74, 57, 21 on a calculator?

Answer: You can find LCD of 74, 57, 21 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 74, 57, 21?

Least Common Denominator of 74, 57, 21.

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(74, 57, 21) = 29526.