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 509, 149, 870 i.e. 65981670 smallest integer divisible by all numbers.
LCD of 509, 149, 870 is 65981670
LCD(509, 149, 870) = 65981670
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
LCD of numbers 509, 149, 870 is 65981670
LCD(509, 149, 870) = 65981670
Arrange the Inputs 509,149,870 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 65981670
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(509, 149) = 1
LCD(509, 149) = ( 509 x 149 ) / 1
LCD(509, 149) = 75841 / 1
LCD(509, 149) = 75841
Step2:
Here we consider the LCD from the above i.e. 75841 as first number and the next as 870
The formula of LCD is LCD(a,b) = ( a x b) / GCF(a,b)
GCF(75841, 870) = 1
LCD(75841, 870) = ( 75841 x 870 ) / 1
LCD(75841, 870) = 65981670 / 1
LCD(75841, 870) = 65981670
LCD of 509,149,870 is 65981670
Here are some samples of LCD of Numbers calculations.
1. What is the LCD of 509, 149, 870?
Answer: LCD of 509, 149, 870 is 65981670.
2. How to find LCD of 509, 149, 870 on a calculator?
Answer: You can find LCD of 509, 149, 870 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 509, 149, 870?
Least Common Denominator of 509, 149, 870.
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(509, 149, 870) = 65981670.