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 105, 509, 949 i.e. 50719305 smallest integer divisible by all numbers.
LCD of 105, 509, 949 is 50719305
LCD(105, 509, 949) = 50719305
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
LCD of numbers 105, 509, 949 is 50719305
LCD(105, 509, 949) = 50719305
Arrange the Inputs 105,509,949 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.
Given numbers has no common factors except 1. So, there LCD is their product i.e 50719305
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(105, 509) = 1
LCD(105, 509) = ( 105 x 509 ) / 1
LCD(105, 509) = 53445 / 1
LCD(105, 509) = 53445
Step2:
Here we consider the LCD from the above i.e. 53445 as first number and the next as 949
The formula of LCD is LCD(a,b) = ( a x b) / GCF(a,b)
GCF(53445, 949) = 1
LCD(53445, 949) = ( 53445 x 949 ) / 1
LCD(53445, 949) = 50719305 / 1
LCD(53445, 949) = 50719305
LCD of 105,509,949 is 50719305
Here are some samples of LCD of Numbers calculations.
1. What is the LCD of 105, 509, 949?
Answer: LCD of 105, 509, 949 is 50719305.
2. How to find LCD of 105, 509, 949 on a calculator?
Answer: You can find LCD of 105, 509, 949 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 105, 509, 949?
Least Common Denominator of 105, 509, 949.
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(105, 509, 949) = 50719305.