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 459, 221, 286 i.e. 131274 smallest integer divisible by all numbers.
Least common multiple (LCM) of 459, 221, 286 is 131274.
LCM(459, 221, 286) = 131274
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
13 | 459, 221, 286 |
17 | 459, 17, 22 |
27, 1, 22 |
∴ So the LCM of the given numbers is 13 x 17 x 27 x 1 x 22 = 131274
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 459,221,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(459,221,286) = 1
common factors(in case of two or more numbers have common factors) = 221
GCF(459,221,286) x common factors =1 x 221 = 221
LCM(459,221,286) = ( 459 × 221 × 286 ) / 221
LCM(459,221,286) = 29011554 / 221
LCM(459,221,286) = 131274
∴ Least Common Multiple of 459,221,286 is 131274
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 459, 221, 286?
Answer: LCM of 459, 221, 286 is 131274.
2. What are the Factors of 131274?
Answer: Factors of 131274 are . There are integers that are factors of 131274
3. How to Find the LCM of 459, 221, 286 ?
Least Common Multiple of 459, 221, 286.
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(459, 221, 286) = 2 x 3 x 3 x 3 x 11 x 13 x 17 = 131274.