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 338, 378, 217 i.e. 1980342 smallest integer divisible by all numbers.
Least common multiple (LCM) of 338, 378, 217 is 1980342.
LCM(338, 378, 217) = 1980342
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 338, 378, 217 |
7 | 169, 189, 217 |
169, 27, 31 |
∴ So the LCM of the given numbers is 2 x 7 x 169 x 27 x 31 = 1980342
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 338,378,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(338,378,217) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(338,378,217) x common factors =1 x 14 = 14
LCM(338,378,217) = ( 338 × 378 × 217 ) / 14
LCM(338,378,217) = 27724788 / 14
LCM(338,378,217) = 1980342
∴ Least Common Multiple of 338,378,217 is 1980342
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 338, 378, 217?
Answer: LCM of 338, 378, 217 is 1980342.
2. What are the Factors of 1980342?
Answer: Factors of 1980342 are . There are integers that are factors of 1980342
3. How to Find the LCM of 338, 378, 217 ?
Least Common Multiple of 338, 378, 217.
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(338, 378, 217) = 2 x 3 x 3 x 3 x 7 x 13 x 13 x 31 = 1980342.