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 461, 400, 764 i.e. 35220400 smallest integer divisible by all numbers.
LCD of 461, 400, 764 is 35220400
LCD(461, 400, 764) = 35220400
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
LCD of numbers 461, 400, 764 is 35220400
LCD(461, 400, 764) = 35220400
Arrange the Inputs 461,400,764 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 | 461, 400, 764 |
2 | 461, 200, 382 |
461, 100, 191 |
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 2 x 461 x 100 x 191 = 35220400
Therefore, LCD of 461,400,764 is 35220400
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(461, 400) = 1
LCD(461, 400) = ( 461 x 400 ) / 1
LCD(461, 400) = 184400 / 1
LCD(461, 400) = 184400
Step2:
Here we consider the LCD from the above i.e. 184400 as first number and the next as 764
The formula of LCD is LCD(a,b) = ( a x b) / GCF(a,b)
GCF(184400, 764) = 4
LCD(184400, 764) = ( 184400 x 764 ) / 4
LCD(184400, 764) = 140881600 / 4
LCD(184400, 764) = 35220400
LCD of 461,400,764 is 35220400
Here are some samples of LCD of Numbers calculations.
1. What is the LCD of 461, 400, 764?
Answer: LCD of 461, 400, 764 is 35220400.
2. How to find LCD of 461, 400, 764 on a calculator?
Answer: You can find LCD of 461, 400, 764 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 461, 400, 764?
Least Common Denominator of 461, 400, 764.
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(461, 400, 764) = 35220400.