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 146, 424, 896 i.e. 3466624 smallest integer divisible by all numbers.
LCD of 146, 424, 896 is 3466624
LCD(146, 424, 896) = 3466624
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
LCD of numbers 146, 424, 896 is 3466624
LCD(146, 424, 896) = 3466624
Arrange the Inputs 146,424,896 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 | 146, 424, 896 |
2 | 73, 212, 448 |
2 | 73, 106, 224 |
73, 53, 112 |
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 2 x 73 x 53 x 112 = 3466624
Therefore, LCD of 146,424,896 is 3466624
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(146, 424) = 2
LCD(146, 424) = ( 146 x 424 ) / 2
LCD(146, 424) = 61904 / 2
LCD(146, 424) = 30952
Step2:
Here we consider the LCD from the above i.e. 30952 as first number and the next as 896
The formula of LCD is LCD(a,b) = ( a x b) / GCF(a,b)
GCF(30952, 896) = 8
LCD(30952, 896) = ( 30952 x 896 ) / 8
LCD(30952, 896) = 27732992 / 8
LCD(30952, 896) = 3466624
LCD of 146,424,896 is 3466624
Here are some samples of LCD of Numbers calculations.
1. What is the LCD of 146, 424, 896?
Answer: LCD of 146, 424, 896 is 3466624.
2. How to find LCD of 146, 424, 896 on a calculator?
Answer: You can find LCD of 146, 424, 896 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 146, 424, 896?
Least Common Denominator of 146, 424, 896.
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(146, 424, 896) = 3466624.