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 30, 12, 57 i.e. 1140 smallest integer divisible by all numbers.
LCD of 30, 12, 57 is 1140
LCD(30, 12, 57) = 1140
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
LCD of numbers 30, 12, 57 is 1140
LCD(30, 12, 57) = 1140
Arrange the Inputs 30,12,57 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 | 30, 12, 57 |
3 | 15, 6, 57 |
5, 2, 19 |
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 5 x 2 x 19 = 1140
Therefore, LCD of 30,12,57 is 1140
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(30, 12) = 6
LCD(30, 12) = ( 30 x 12 ) / 6
LCD(30, 12) = 360 / 6
LCD(30, 12) = 60
Step2:
Here we consider the LCD from the above i.e. 60 as first number and the next as 57
The formula of LCD is LCD(a,b) = ( a x b) / GCF(a,b)
GCF(60, 57) = 3
LCD(60, 57) = ( 60 x 57 ) / 3
LCD(60, 57) = 3420 / 3
LCD(60, 57) = 1140
LCD of 30,12,57 is 1140
Here are some samples of LCD of Numbers calculations.
1. What is the LCD of 30, 12, 57?
Answer: LCD of 30, 12, 57 is 1140.
2. How to find LCD of 30, 12, 57 on a calculator?
Answer: You can find LCD of 30, 12, 57 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 30, 12, 57?
Least Common Denominator of 30, 12, 57.
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(30, 12, 57) = 1140.