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 339, 3456 i.e. 390528 smallest integer divisible by all numbers.
Least common multiple (LCM) of 339, 3456 is 390528.
LCM(339, 3456) = 390528
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
3 | 339, 3456 |
113, 1152 |
∴ So the LCM of the given numbers is 3 x 113 x 1152 = 390528
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 339,3456 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(339,3456) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(339,3456) x common factors =3 x 1 = 3
LCM(339,3456) = ( 339 × 3456 ) / 3
LCM(339,3456) = 1171584 / 3
LCM(339,3456) = 390528
∴ Least Common Multiple of 339,3456 is 390528
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 339, 3456?
Answer: LCM of 339, 3456 is 390528.
2. What are the Factors of 390528?
Answer: Factors of 390528 are . There are integers that are factors of 390528
3. How to Find the LCM of 339, 3456 ?
Least Common Multiple of 339, 3456.
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(339, 3456) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 113 = 390528.