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 289, 578, 461 i.e. 266458 smallest integer divisible by all numbers.
Least common multiple (LCM) of 289, 578, 461 is 266458.
LCM(289, 578, 461) = 266458
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
17 | 289, 578, 461 |
17 | 17, 34, 461 |
1, 2, 461 |
∴ So the LCM of the given numbers is 17 x 17 x 1 x 2 x 461 = 266458
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 289,578,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(289,578,461) = 1
common factors(in case of two or more numbers have common factors) = 289
GCF(289,578,461) x common factors =1 x 289 = 289
LCM(289,578,461) = ( 289 × 578 × 461 ) / 289
LCM(289,578,461) = 77006362 / 289
LCM(289,578,461) = 266458
∴ Least Common Multiple of 289,578,461 is 266458
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 289, 578, 461?
Answer: LCM of 289, 578, 461 is 266458.
2. What are the Factors of 266458?
Answer: Factors of 266458 are . There are integers that are factors of 266458
3. How to Find the LCM of 289, 578, 461 ?
Least Common Multiple of 289, 578, 461.
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(289, 578, 461) = 2 x 17 x 17 x 461 = 266458.