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 329, 704, 742 i.e. 12275648 smallest integer divisible by all numbers.
LCD of 329, 704, 742 is 12275648
LCD(329, 704, 742) = 12275648
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
LCD of numbers 329, 704, 742 is 12275648
LCD(329, 704, 742) = 12275648
Arrange the Inputs 329,704,742 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 | 329, 704, 742 |
7 | 329, 352, 371 |
47, 352, 53 |
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 7 x 47 x 352 x 53 = 12275648
Therefore, LCD of 329,704,742 is 12275648
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(329, 704) = 1
LCD(329, 704) = ( 329 x 704 ) / 1
LCD(329, 704) = 231616 / 1
LCD(329, 704) = 231616
Step2:
Here we consider the LCD from the above i.e. 231616 as first number and the next as 742
The formula of LCD is LCD(a,b) = ( a x b) / GCF(a,b)
GCF(231616, 742) = 14
LCD(231616, 742) = ( 231616 x 742 ) / 14
LCD(231616, 742) = 171859072 / 14
LCD(231616, 742) = 12275648
LCD of 329,704,742 is 12275648
Here are some samples of LCD of Numbers calculations.
1. What is the LCD of 329, 704, 742?
Answer: LCD of 329, 704, 742 is 12275648.
2. How to find LCD of 329, 704, 742 on a calculator?
Answer: You can find LCD of 329, 704, 742 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 329, 704, 742?
Least Common Denominator of 329, 704, 742.
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(329, 704, 742) = 12275648.