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 216, 405, 315, 341, 731 i.e. 5653466280 smallest integer divisible by all numbers.
Least common multiple (LCM) of 216, 405, 315, 341, 731 is 5653466280.
LCM(216, 405, 315, 341, 731) = 5653466280
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
3 | 216, 405, 315, 341, 731 |
3 | 72, 135, 105, 341, 731 |
3 | 24, 45, 35, 341, 731 |
5 | 8, 15, 35, 341, 731 |
8, 3, 7, 341, 731 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 5 x 8 x 3 x 7 x 341 x 731 = 5653466280
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 216,405,315,341,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(216,405,315,341,731) = 1
common factors(in case of two or more numbers have common factors) = 1215
GCF(216,405,315,341,731) x common factors =1 x 1215 = 1215
LCM(216,405,315,341,731) = ( 216 × 405 × 315 × 341 × 731 ) / 1215
LCM(216,405,315,341,731) = 6868961530200 / 1215
LCM(216,405,315,341,731) = 5653466280
∴ Least Common Multiple of 216,405,315,341,731 is 5653466280
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 216, 405, 315, 341, 731?
Answer: LCM of 216, 405, 315, 341, 731 is 5653466280.
2. What are the Factors of 5653466280?
Answer: Factors of 5653466280 are . There are integers that are factors of 5653466280
3. How to Find the LCM of 216, 405, 315, 341, 731 ?
Least Common Multiple of 216, 405, 315, 341, 731.
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(216, 405, 315, 341, 731) = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 7 x 11 x 17 x 31 x 43 = 5653466280.