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 656, 550, 789 i.e. 142335600 smallest integer divisible by all numbers.
LCD of 656, 550, 789 is 142335600
LCD(656, 550, 789) = 142335600
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
LCD of numbers 656, 550, 789 is 142335600
LCD(656, 550, 789) = 142335600
Arrange the Inputs 656,550,789 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 | 656, 550, 789 |
328, 275, 789 |
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 328 x 275 x 789 = 142335600
Therefore, LCD of 656,550,789 is 142335600
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(656, 550) = 2
LCD(656, 550) = ( 656 x 550 ) / 2
LCD(656, 550) = 360800 / 2
LCD(656, 550) = 180400
Step2:
Here we consider the LCD from the above i.e. 180400 as first number and the next as 789
The formula of LCD is LCD(a,b) = ( a x b) / GCF(a,b)
GCF(180400, 789) = 1
LCD(180400, 789) = ( 180400 x 789 ) / 1
LCD(180400, 789) = 142335600 / 1
LCD(180400, 789) = 142335600
LCD of 656,550,789 is 142335600
Here are some samples of LCD of Numbers calculations.
1. What is the LCD of 656, 550, 789?
Answer: LCD of 656, 550, 789 is 142335600.
2. How to find LCD of 656, 550, 789 on a calculator?
Answer: You can find LCD of 656, 550, 789 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 656, 550, 789?
Least Common Denominator of 656, 550, 789.
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(656, 550, 789) = 142335600.