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 206, 311, 270, 909, 801 i.e. 77745051990 smallest integer divisible by all numbers.
Least common multiple (LCM) of 206, 311, 270, 909, 801 is 77745051990.
LCM(206, 311, 270, 909, 801) = 77745051990
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 206, 311, 270, 909, 801 |
3 | 103, 311, 135, 909, 801 |
3 | 103, 311, 45, 303, 267 |
103, 311, 15, 101, 89 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 103 x 311 x 15 x 101 x 89 = 77745051990
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 206,311,270,909,801 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(206,311,270,909,801) = 1
common factors(in case of two or more numbers have common factors) = 162
GCF(206,311,270,909,801) x common factors =1 x 162 = 162
LCM(206,311,270,909,801) = ( 206 × 311 × 270 × 909 × 801 ) / 162
LCM(206,311,270,909,801) = 12594698422380 / 162
LCM(206,311,270,909,801) = 77745051990
∴ Least Common Multiple of 206,311,270,909,801 is 77745051990
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 206, 311, 270, 909, 801?
Answer: LCM of 206, 311, 270, 909, 801 is 77745051990.
2. What are the Factors of 77745051990?
Answer: Factors of 77745051990 are . There are integers that are factors of 77745051990
3. How to Find the LCM of 206, 311, 270, 909, 801 ?
Least Common Multiple of 206, 311, 270, 909, 801.
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(206, 311, 270, 909, 801) = 2 x 3 x 3 x 3 x 5 x 89 x 101 x 103 x 311 = 77745051990.