LCD of 496, 111, 624 Calculator
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 496, 111, 624 i.e. 715728 smallest integer divisible by all numbers.
LCD of 496, 111, 624 is 715728
LCD(496, 111, 624) = 715728
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
LCD of numbers 496, 111, 624 is 715728
LCD(496, 111, 624) = 715728
LCD of 496,111,624 is 715728
Arrange the Inputs 496,111,624 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 | 496, 111, 624 |
| 2 | 248, 111, 312 |
| 2 | 124, 111, 156 |
| 2 | 62, 111, 78 |
| 3 | 31, 111, 39 |
| 31, 37, 13 |
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 2 x 3 x 31 x 37 x 13 = 715728
Therefore, LCD of 496,111,624 is 715728
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(496, 111) = 1
LCD(496, 111) = ( 496 x 111 ) / 1
LCD(496, 111) = 55056 / 1
LCD(496, 111) = 55056
Step2:
Here we consider the LCD from the above i.e. 55056 as first number and the next as 624
The formula of LCD is LCD(a,b) = ( a x b) / GCF(a,b)
GCF(55056, 624) = 48
LCD(55056, 624) = ( 55056 x 624 ) / 48
LCD(55056, 624) = 34354944 / 48
LCD(55056, 624) = 715728
LCD of 496,111,624 is 715728
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Frequently Asked Questions on LCD of 496, 111, 624
1. What is the LCD of 496, 111, 624?
Answer: LCD of 496, 111, 624 is 715728.
2. How to find LCD of 496, 111, 624 on a calculator?
Answer: You can find LCD of 496, 111, 624 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 496, 111, 624?
Least Common Denominator of 496, 111, 624.
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(496, 111, 624) = 715728.