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 426, 409, 346 i.e. 30142482 smallest integer divisible by all numbers.
Least common multiple (LCM) of 426, 409, 346 is 30142482.
LCM(426, 409, 346) = 30142482
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 426, 409, 346 |
213, 409, 173 |
∴ So the LCM of the given numbers is 2 x 213 x 409 x 173 = 30142482
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 426,409,346 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(426,409,346) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(426,409,346) x common factors =1 x 2 = 2
LCM(426,409,346) = ( 426 × 409 × 346 ) / 2
LCM(426,409,346) = 60284964 / 2
LCM(426,409,346) = 30142482
∴ Least Common Multiple of 426,409,346 is 30142482
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 426, 409, 346?
Answer: LCM of 426, 409, 346 is 30142482.
2. What are the Factors of 30142482?
Answer: Factors of 30142482 are . There are integers that are factors of 30142482
3. How to Find the LCM of 426, 409, 346 ?
Least Common Multiple of 426, 409, 346.
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(426, 409, 346) = 2 x 3 x 71 x 173 x 409 = 30142482.