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, 357, 723 i.e. 774333 smallest integer divisible by all numbers.
Least common multiple (LCM) of 459, 357, 723 is 774333.
LCM(459, 357, 723) = 774333
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
3 | 459, 357, 723 |
17 | 153, 119, 241 |
9, 7, 241 |
∴ So the LCM of the given numbers is 3 x 17 x 9 x 7 x 241 = 774333
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 459,357,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(459,357,723) = 3
common factors(in case of two or more numbers have common factors) = 51
GCF(459,357,723) x common factors =3 x 51 = 153
LCM(459,357,723) = ( 459 × 357 × 723 ) / 153
LCM(459,357,723) = 118472949 / 153
LCM(459,357,723) = 774333
∴ Least Common Multiple of 459,357,723 is 774333
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 459, 357, 723?
Answer: LCM of 459, 357, 723 is 774333.
2. What are the Factors of 774333?
Answer: Factors of 774333 are . There are integers that are factors of 774333
3. How to Find the LCM of 459, 357, 723 ?
Least Common Multiple of 459, 357, 723.
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, 357, 723) = 3 x 3 x 3 x 7 x 17 x 241 = 774333.