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 367, 502, 716 i.e. 65955772 smallest integer divisible by all numbers.
LCD of 367, 502, 716 is 65955772
LCD(367, 502, 716) = 65955772
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
LCD of numbers 367, 502, 716 is 65955772
LCD(367, 502, 716) = 65955772
Arrange the Inputs 367,502,716 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 | 367, 502, 716 |
367, 251, 358 |
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 367 x 251 x 358 = 65955772
Therefore, LCD of 367,502,716 is 65955772
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(367, 502) = 1
LCD(367, 502) = ( 367 x 502 ) / 1
LCD(367, 502) = 184234 / 1
LCD(367, 502) = 184234
Step2:
Here we consider the LCD from the above i.e. 184234 as first number and the next as 716
The formula of LCD is LCD(a,b) = ( a x b) / GCF(a,b)
GCF(184234, 716) = 2
LCD(184234, 716) = ( 184234 x 716 ) / 2
LCD(184234, 716) = 131911544 / 2
LCD(184234, 716) = 65955772
LCD of 367,502,716 is 65955772
Here are some samples of LCD of Numbers calculations.
1. What is the LCD of 367, 502, 716?
Answer: LCD of 367, 502, 716 is 65955772.
2. How to find LCD of 367, 502, 716 on a calculator?
Answer: You can find LCD of 367, 502, 716 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 367, 502, 716?
Least Common Denominator of 367, 502, 716.
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(367, 502, 716) = 65955772.