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 369, 442, 304 i.e. 24790896 smallest integer divisible by all numbers.
LCD of 369, 442, 304 is 24790896
LCD(369, 442, 304) = 24790896
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
LCD of numbers 369, 442, 304 is 24790896
LCD(369, 442, 304) = 24790896
Arrange the Inputs 369,442,304 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 | 369, 442, 304 |
369, 221, 152 |
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 369 x 221 x 152 = 24790896
Therefore, LCD of 369,442,304 is 24790896
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(369, 442) = 1
LCD(369, 442) = ( 369 x 442 ) / 1
LCD(369, 442) = 163098 / 1
LCD(369, 442) = 163098
Step2:
Here we consider the LCD from the above i.e. 163098 as first number and the next as 304
The formula of LCD is LCD(a,b) = ( a x b) / GCF(a,b)
GCF(163098, 304) = 2
LCD(163098, 304) = ( 163098 x 304 ) / 2
LCD(163098, 304) = 49581792 / 2
LCD(163098, 304) = 24790896
LCD of 369,442,304 is 24790896
Here are some samples of LCD of Numbers calculations.
1. What is the LCD of 369, 442, 304?
Answer: LCD of 369, 442, 304 is 24790896.
2. How to find LCD of 369, 442, 304 on a calculator?
Answer: You can find LCD of 369, 442, 304 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 369, 442, 304?
Least Common Denominator of 369, 442, 304.
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(369, 442, 304) = 24790896.