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 287, 369, 291, 406, 471 i.e. 2281517406 smallest integer divisible by all numbers.
Least common multiple (LCM) of 287, 369, 291, 406, 471 is 2281517406.
LCM(287, 369, 291, 406, 471) = 2281517406
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
3 | 287, 369, 291, 406, 471 |
7 | 287, 123, 97, 406, 157 |
41 | 41, 123, 97, 58, 157 |
1, 3, 97, 58, 157 |
∴ So the LCM of the given numbers is 3 x 7 x 41 x 1 x 3 x 97 x 58 x 157 = 2281517406
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 287,369,291,406,471 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(287,369,291,406,471) = 1
common factors(in case of two or more numbers have common factors) = 2583
GCF(287,369,291,406,471) x common factors =1 x 2583 = 2583
LCM(287,369,291,406,471) = ( 287 × 369 × 291 × 406 × 471 ) / 2583
LCM(287,369,291,406,471) = 5893159459698 / 2583
LCM(287,369,291,406,471) = 2281517406
∴ Least Common Multiple of 287,369,291,406,471 is 2281517406
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 287, 369, 291, 406, 471?
Answer: LCM of 287, 369, 291, 406, 471 is 2281517406.
2. What are the Factors of 2281517406?
Answer: Factors of 2281517406 are . There are integers that are factors of 2281517406
3. How to Find the LCM of 287, 369, 291, 406, 471 ?
Least Common Multiple of 287, 369, 291, 406, 471.
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(287, 369, 291, 406, 471) = 2 x 3 x 3 x 7 x 29 x 41 x 97 x 157 = 2281517406.