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 552, 490, 489 i.e. 22044120 smallest integer divisible by all numbers.
LCD of 552, 490, 489 is 22044120
LCD(552, 490, 489) = 22044120
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
LCD of numbers 552, 490, 489 is 22044120
LCD(552, 490, 489) = 22044120
Arrange the Inputs 552,490,489 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 | 552, 490, 489 |
3 | 276, 245, 489 |
92, 245, 163 |
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 92 x 245 x 163 = 22044120
Therefore, LCD of 552,490,489 is 22044120
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(552, 490) = 2
LCD(552, 490) = ( 552 x 490 ) / 2
LCD(552, 490) = 270480 / 2
LCD(552, 490) = 135240
Step2:
Here we consider the LCD from the above i.e. 135240 as first number and the next as 489
The formula of LCD is LCD(a,b) = ( a x b) / GCF(a,b)
GCF(135240, 489) = 3
LCD(135240, 489) = ( 135240 x 489 ) / 3
LCD(135240, 489) = 66132360 / 3
LCD(135240, 489) = 22044120
LCD of 552,490,489 is 22044120
Here are some samples of LCD of Numbers calculations.
1. What is the LCD of 552, 490, 489?
Answer: LCD of 552, 490, 489 is 22044120.
2. How to find LCD of 552, 490, 489 on a calculator?
Answer: You can find LCD of 552, 490, 489 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 552, 490, 489?
Least Common Denominator of 552, 490, 489.
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(552, 490, 489) = 22044120.