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 981, 492, 675 i.e. 12066300 smallest integer divisible by all numbers.
LCD of 981, 492, 675 is 12066300
LCD(981, 492, 675) = 12066300
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
LCD of numbers 981, 492, 675 is 12066300
LCD(981, 492, 675) = 12066300
Arrange the Inputs 981,492,675 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 | 981, 492, 675 |
3 | 327, 164, 225 |
109, 164, 75 |
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 3 x 109 x 164 x 75 = 12066300
Therefore, LCD of 981,492,675 is 12066300
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(981, 492) = 3
LCD(981, 492) = ( 981 x 492 ) / 3
LCD(981, 492) = 482652 / 3
LCD(981, 492) = 160884
Step2:
Here we consider the LCD from the above i.e. 160884 as first number and the next as 675
The formula of LCD is LCD(a,b) = ( a x b) / GCF(a,b)
GCF(160884, 675) = 9
LCD(160884, 675) = ( 160884 x 675 ) / 9
LCD(160884, 675) = 108596700 / 9
LCD(160884, 675) = 12066300
LCD of 981,492,675 is 12066300
Here are some samples of LCD of Numbers calculations.
1. What is the LCD of 981, 492, 675?
Answer: LCD of 981, 492, 675 is 12066300.
2. How to find LCD of 981, 492, 675 on a calculator?
Answer: You can find LCD of 981, 492, 675 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 981, 492, 675?
Least Common Denominator of 981, 492, 675.
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(981, 492, 675) = 12066300.