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 224, 514, 342 i.e. 9844128 smallest integer divisible by all numbers.
LCD of 224, 514, 342 is 9844128
LCD(224, 514, 342) = 9844128
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
LCD of numbers 224, 514, 342 is 9844128
LCD(224, 514, 342) = 9844128
Arrange the Inputs 224,514,342 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 | 224, 514, 342 |
112, 257, 171 |
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 112 x 257 x 171 = 9844128
Therefore, LCD of 224,514,342 is 9844128
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(224, 514) = 2
LCD(224, 514) = ( 224 x 514 ) / 2
LCD(224, 514) = 115136 / 2
LCD(224, 514) = 57568
Step2:
Here we consider the LCD from the above i.e. 57568 as first number and the next as 342
The formula of LCD is LCD(a,b) = ( a x b) / GCF(a,b)
GCF(57568, 342) = 2
LCD(57568, 342) = ( 57568 x 342 ) / 2
LCD(57568, 342) = 19688256 / 2
LCD(57568, 342) = 9844128
LCD of 224,514,342 is 9844128
Here are some samples of LCD of Numbers calculations.
1. What is the LCD of 224, 514, 342?
Answer: LCD of 224, 514, 342 is 9844128.
2. How to find LCD of 224, 514, 342 on a calculator?
Answer: You can find LCD of 224, 514, 342 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 224, 514, 342?
Least Common Denominator of 224, 514, 342.
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(224, 514, 342) = 9844128.