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 615, 378, 596 i.e. 23092020 smallest integer divisible by all numbers.
LCD of 615, 378, 596 is 23092020
LCD(615, 378, 596) = 23092020
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
LCD of numbers 615, 378, 596 is 23092020
LCD(615, 378, 596) = 23092020
Arrange the Inputs 615,378,596 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 | 615, 378, 596 |
3 | 615, 189, 298 |
205, 63, 298 |
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 205 x 63 x 298 = 23092020
Therefore, LCD of 615,378,596 is 23092020
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(615, 378) = 3
LCD(615, 378) = ( 615 x 378 ) / 3
LCD(615, 378) = 232470 / 3
LCD(615, 378) = 77490
Step2:
Here we consider the LCD from the above i.e. 77490 as first number and the next as 596
The formula of LCD is LCD(a,b) = ( a x b) / GCF(a,b)
GCF(77490, 596) = 2
LCD(77490, 596) = ( 77490 x 596 ) / 2
LCD(77490, 596) = 46184040 / 2
LCD(77490, 596) = 23092020
LCD of 615,378,596 is 23092020
Here are some samples of LCD of Numbers calculations.
1. What is the LCD of 615, 378, 596?
Answer: LCD of 615, 378, 596 is 23092020.
2. How to find LCD of 615, 378, 596 on a calculator?
Answer: You can find LCD of 615, 378, 596 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 615, 378, 596?
Least Common Denominator of 615, 378, 596.
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(615, 378, 596) = 23092020.