Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 506, 315, 509 i.e. 81129510 smallest integer divisible by all numbers.
Least common multiple (LCM) of 506, 315, 509 is 81129510.
LCM(506, 315, 509) = 81129510
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
Given numbers has no common factors except 1. So, there LCM is their product i.e 81129510
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 506,315,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(506,315,509) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(506,315,509) x common factors =1 x 1 = 1
LCM(506,315,509) = ( 506 × 315 × 509 ) / 1
LCM(506,315,509) = 81129510 / 1
LCM(506,315,509) = 81129510
∴ Least Common Multiple of 506,315,509 is 81129510
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 506, 315, 509?
Answer: LCM of 506, 315, 509 is 81129510.
2. What are the Factors of 81129510?
Answer: Factors of 81129510 are . There are integers that are factors of 81129510
3. How to Find the LCM of 506, 315, 509 ?
Least Common Multiple of 506, 315, 509.
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 LCM(506, 315, 509) = 2 x 3 x 3 x 5 x 7 x 11 x 23 x 509 = 81129510.