LCD of 123, 714, 170 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 123, 714, 170 i.e. 146370 smallest integer divisible by all numbers.

LCD of 123, 714, 170 is 146370

LCD(123, 714, 170) = 146370

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

LCD of

LCD of numbers 123, 714, 170 is 146370

LCD(123, 714, 170) = 146370

LCD of 123,714,170 Calculator

LCD of 123,714,170 is 146370

Arrange the Inputs 123,714,170 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.

2 123, 714, 170
3 123, 357, 85
17 41, 119, 85
41, 7, 5

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 17 x 41 x 7 x 5 = 146370

Therefore, LCD of 123,714,170 is 146370

Finding LCD of 123,714,170 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(123, 714) = 3

LCD(123, 714) = ( 123 x 714 ) / 3

LCD(123, 714) = 87822 / 3

LCD(123, 714) = 29274


Step2:

Here we consider the LCD from the above i.e. 29274 as first number and the next as 170

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

GCF(29274, 170) = 34

LCD(29274, 170) = ( 29274 x 170 ) / 34

LCD(29274, 170) = 4976580 / 34

LCD(29274, 170) = 146370

LCD of 123,714,170 is 146370

LCD of Numbers Calculation Examples

Frequently Asked Questions on LCD of 123, 714, 170

1. What is the LCD of 123, 714, 170?

Answer: LCD of 123, 714, 170 is 146370.

2. How to find LCD of 123, 714, 170 on a calculator?

Answer: You can find LCD of 123, 714, 170 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 123, 714, 170?

Least Common Denominator of 123, 714, 170.

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(123, 714, 170) = 146370.