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 198, 731, 906 i.e. 21855438 smallest integer divisible by all numbers.
LCD of 198, 731, 906 is 21855438
LCD(198, 731, 906) = 21855438
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
LCD of numbers 198, 731, 906 is 21855438
LCD(198, 731, 906) = 21855438
Arrange the Inputs 198,731,906 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 | 198, 731, 906 |
3 | 99, 731, 453 |
33, 731, 151 |
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 33 x 731 x 151 = 21855438
Therefore, LCD of 198,731,906 is 21855438
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(198, 731) = 1
LCD(198, 731) = ( 198 x 731 ) / 1
LCD(198, 731) = 144738 / 1
LCD(198, 731) = 144738
Step2:
Here we consider the LCD from the above i.e. 144738 as first number and the next as 906
The formula of LCD is LCD(a,b) = ( a x b) / GCF(a,b)
GCF(144738, 906) = 6
LCD(144738, 906) = ( 144738 x 906 ) / 6
LCD(144738, 906) = 131132628 / 6
LCD(144738, 906) = 21855438
LCD of 198,731,906 is 21855438
Here are some samples of LCD of Numbers calculations.
1. What is the LCD of 198, 731, 906?
Answer: LCD of 198, 731, 906 is 21855438.
2. How to find LCD of 198, 731, 906 on a calculator?
Answer: You can find LCD of 198, 731, 906 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 198, 731, 906?
Least Common Denominator of 198, 731, 906.
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(198, 731, 906) = 21855438.