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, 140, 205 i.e. 17220 smallest integer divisible by all numbers.
LCD of 30, 140, 205 is 17220
LCD(30, 140, 205) = 17220
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
LCD of numbers 30, 140, 205 is 17220
LCD(30, 140, 205) = 17220
Arrange the Inputs 30,140,205 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, 140, 205 |
5 | 15, 70, 205 |
3, 14, 41 |
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 5 x 3 x 14 x 41 = 17220
Therefore, LCD of 30,140,205 is 17220
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, 140) = 10
LCD(30, 140) = ( 30 x 140 ) / 10
LCD(30, 140) = 4200 / 10
LCD(30, 140) = 420
Step2:
Here we consider the LCD from the above i.e. 420 as first number and the next as 205
The formula of LCD is LCD(a,b) = ( a x b) / GCF(a,b)
GCF(420, 205) = 5
LCD(420, 205) = ( 420 x 205 ) / 5
LCD(420, 205) = 86100 / 5
LCD(420, 205) = 17220
LCD of 30,140,205 is 17220
Here are some samples of LCD of Numbers calculations.
1. What is the LCD of 30, 140, 205?
Answer: LCD of 30, 140, 205 is 17220.
2. How to find LCD of 30, 140, 205 on a calculator?
Answer: You can find LCD of 30, 140, 205 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, 140, 205?
Least Common Denominator of 30, 140, 205.
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, 140, 205) = 17220.