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 514, 285, 362 i.e. 26514690 smallest integer divisible by all numbers.
LCD of 514, 285, 362 is 26514690
LCD(514, 285, 362) = 26514690
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
LCD of numbers 514, 285, 362 is 26514690
LCD(514, 285, 362) = 26514690
Arrange the Inputs 514,285,362 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 | 514, 285, 362 |
257, 285, 181 |
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 257 x 285 x 181 = 26514690
Therefore, LCD of 514,285,362 is 26514690
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(514, 285) = 1
LCD(514, 285) = ( 514 x 285 ) / 1
LCD(514, 285) = 146490 / 1
LCD(514, 285) = 146490
Step2:
Here we consider the LCD from the above i.e. 146490 as first number and the next as 362
The formula of LCD is LCD(a,b) = ( a x b) / GCF(a,b)
GCF(146490, 362) = 2
LCD(146490, 362) = ( 146490 x 362 ) / 2
LCD(146490, 362) = 53029380 / 2
LCD(146490, 362) = 26514690
LCD of 514,285,362 is 26514690
Here are some samples of LCD of Numbers calculations.
1. What is the LCD of 514, 285, 362?
Answer: LCD of 514, 285, 362 is 26514690.
2. How to find LCD of 514, 285, 362 on a calculator?
Answer: You can find LCD of 514, 285, 362 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 514, 285, 362?
Least Common Denominator of 514, 285, 362.
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(514, 285, 362) = 26514690.