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 123, 405, 208 i.e. 3453840 smallest integer divisible by all numbers.
Least common multiple (LCM) of 123, 405, 208 is 3453840.
LCM(123, 405, 208) = 3453840
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
3 | 123, 405, 208 |
41, 135, 208 |
∴ So the LCM of the given numbers is 3 x 41 x 135 x 208 = 3453840
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 123,405,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,405,208) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(123,405,208) x common factors =1 x 3 = 3
LCM(123,405,208) = ( 123 × 405 × 208 ) / 3
LCM(123,405,208) = 10361520 / 3
LCM(123,405,208) = 3453840
∴ Least Common Multiple of 123,405,208 is 3453840
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 123, 405, 208?
Answer: LCM of 123, 405, 208 is 3453840.
2. What are the Factors of 3453840?
Answer: Factors of 3453840 are . There are integers that are factors of 3453840
3. How to Find the LCM of 123, 405, 208 ?
Least Common Multiple of 123, 405, 208.
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(123, 405, 208) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 13 x 41 = 3453840.