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 204, 816, 142, 394 i.e. 11413392 smallest integer divisible by all numbers.
Least common multiple (LCM) of 204, 816, 142, 394 is 11413392.
LCM(204, 816, 142, 394) = 11413392
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 204, 816, 142, 394 |
2 | 102, 408, 71, 197 |
3 | 51, 204, 71, 197 |
17 | 17, 68, 71, 197 |
1, 4, 71, 197 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 1 x 4 x 71 x 197 = 11413392
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 204,816,142,394 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(204,816,142,394) = 2
common factors(in case of two or more numbers have common factors) = 408
GCF(204,816,142,394) x common factors =2 x 408 = 816
LCM(204,816,142,394) = ( 204 × 816 × 142 × 394 ) / 816
LCM(204,816,142,394) = 9313327872 / 816
LCM(204,816,142,394) = 11413392
∴ Least Common Multiple of 204,816,142,394 is 11413392
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 204, 816, 142, 394?
Answer: LCM of 204, 816, 142, 394 is 11413392.
2. What are the Factors of 11413392?
Answer: Factors of 11413392 are . There are integers that are factors of 11413392
3. How to Find the LCM of 204, 816, 142, 394 ?
Least Common Multiple of 204, 816, 142, 394.
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(204, 816, 142, 394) = 2 x 2 x 2 x 2 x 3 x 17 x 71 x 197 = 11413392.