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 448, 856, 419 i.e. 20085184 smallest integer divisible by all numbers.
LCD of 448, 856, 419 is 20085184
LCD(448, 856, 419) = 20085184
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
LCD of numbers 448, 856, 419 is 20085184
LCD(448, 856, 419) = 20085184
Arrange the Inputs 448,856,419 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 | 448, 856, 419 |
2 | 224, 428, 419 |
2 | 112, 214, 419 |
56, 107, 419 |
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 56 x 107 x 419 = 20085184
Therefore, LCD of 448,856,419 is 20085184
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(448, 856) = 8
LCD(448, 856) = ( 448 x 856 ) / 8
LCD(448, 856) = 383488 / 8
LCD(448, 856) = 47936
Step2:
Here we consider the LCD from the above i.e. 47936 as first number and the next as 419
The formula of LCD is LCD(a,b) = ( a x b) / GCF(a,b)
GCF(47936, 419) = 1
LCD(47936, 419) = ( 47936 x 419 ) / 1
LCD(47936, 419) = 20085184 / 1
LCD(47936, 419) = 20085184
LCD of 448,856,419 is 20085184
Here are some samples of LCD of Numbers calculations.
1. What is the LCD of 448, 856, 419?
Answer: LCD of 448, 856, 419 is 20085184.
2. How to find LCD of 448, 856, 419 on a calculator?
Answer: You can find LCD of 448, 856, 419 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 448, 856, 419?
Least Common Denominator of 448, 856, 419.
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(448, 856, 419) = 20085184.