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 408, 367, 123 i.e. 6139176 smallest integer divisible by all numbers.
LCD of 408, 367, 123 is 6139176
LCD(408, 367, 123) = 6139176
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
LCD of numbers 408, 367, 123 is 6139176
LCD(408, 367, 123) = 6139176
Arrange the Inputs 408,367,123 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 | 408, 367, 123 |
136, 367, 41 |
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 136 x 367 x 41 = 6139176
Therefore, LCD of 408,367,123 is 6139176
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(408, 367) = 1
LCD(408, 367) = ( 408 x 367 ) / 1
LCD(408, 367) = 149736 / 1
LCD(408, 367) = 149736
Step2:
Here we consider the LCD from the above i.e. 149736 as first number and the next as 123
The formula of LCD is LCD(a,b) = ( a x b) / GCF(a,b)
GCF(149736, 123) = 3
LCD(149736, 123) = ( 149736 x 123 ) / 3
LCD(149736, 123) = 18417528 / 3
LCD(149736, 123) = 6139176
LCD of 408,367,123 is 6139176
Here are some samples of LCD of Numbers calculations.
1. What is the LCD of 408, 367, 123?
Answer: LCD of 408, 367, 123 is 6139176.
2. How to find LCD of 408, 367, 123 on a calculator?
Answer: You can find LCD of 408, 367, 123 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 408, 367, 123?
Least Common Denominator of 408, 367, 123.
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(408, 367, 123) = 6139176.