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, 642, 966 i.e. 4237842 smallest integer divisible by all numbers.
LCD of 123, 642, 966 is 4237842
LCD(123, 642, 966) = 4237842
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
LCD of numbers 123, 642, 966 is 4237842
LCD(123, 642, 966) = 4237842
Arrange the Inputs 123,642,966 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, 642, 966 |
3 | 123, 321, 483 |
41, 107, 161 |
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 41 x 107 x 161 = 4237842
Therefore, LCD of 123,642,966 is 4237842
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, 642) = 3
LCD(123, 642) = ( 123 x 642 ) / 3
LCD(123, 642) = 78966 / 3
LCD(123, 642) = 26322
Step2:
Here we consider the LCD from the above i.e. 26322 as first number and the next as 966
The formula of LCD is LCD(a,b) = ( a x b) / GCF(a,b)
GCF(26322, 966) = 6
LCD(26322, 966) = ( 26322 x 966 ) / 6
LCD(26322, 966) = 25427052 / 6
LCD(26322, 966) = 4237842
LCD of 123,642,966 is 4237842
Here are some samples of LCD of Numbers calculations.
1. What is the LCD of 123, 642, 966?
Answer: LCD of 123, 642, 966 is 4237842.
2. How to find LCD of 123, 642, 966 on a calculator?
Answer: You can find LCD of 123, 642, 966 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, 642, 966?
Least Common Denominator of 123, 642, 966.
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, 642, 966) = 4237842.