LCD of 15, 74, 85 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 15, 74, 85 i.e. 18870 smallest integer divisible by all numbers.

LCD of 15, 74, 85 is 18870

LCD(15, 74, 85) = 18870

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

LCD of

LCD of numbers 15, 74, 85 is 18870

LCD(15, 74, 85) = 18870

LCD of 15,74,85 Calculator

LCD of 15,74,85 is 18870

Arrange the Inputs 15,74,85 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.

5 15, 74, 85
3, 74, 17

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. 5 x 3 x 74 x 17 = 18870

Therefore, LCD of 15,74,85 is 18870

Finding LCD of 15,74,85 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(15, 74) = 1

LCD(15, 74) = ( 15 x 74 ) / 1

LCD(15, 74) = 1110 / 1

LCD(15, 74) = 1110


Step2:

Here we consider the LCD from the above i.e. 1110 as first number and the next as 85

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

GCF(1110, 85) = 5

LCD(1110, 85) = ( 1110 x 85 ) / 5

LCD(1110, 85) = 94350 / 5

LCD(1110, 85) = 18870

LCD of 15,74,85 is 18870

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Frequently Asked Questions on LCD of 15, 74, 85

1. What is the LCD of 15, 74, 85?

Answer: LCD of 15, 74, 85 is 18870.

2. How to find LCD of 15, 74, 85 on a calculator?

Answer: You can find LCD of 15, 74, 85 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 15, 74, 85?

Least Common Denominator of 15, 74, 85.

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(15, 74, 85) = 18870.