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 828, 192, 391 i.e. 225216 smallest integer divisible by all numbers.
Least common multiple (LCM) of 828, 192, 391 is 225216.
LCM(828, 192, 391) = 225216
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 828, 192, 391 |
2 | 414, 96, 391 |
3 | 207, 48, 391 |
23 | 69, 16, 391 |
3, 16, 17 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 23 x 3 x 16 x 17 = 225216
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 828,192,391 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(828,192,391) = 1
common factors(in case of two or more numbers have common factors) = 276
GCF(828,192,391) x common factors =1 x 276 = 276
LCM(828,192,391) = ( 828 × 192 × 391 ) / 276
LCM(828,192,391) = 62159616 / 276
LCM(828,192,391) = 225216
∴ Least Common Multiple of 828,192,391 is 225216
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 828, 192, 391?
Answer: LCM of 828, 192, 391 is 225216.
2. What are the Factors of 225216?
Answer: Factors of 225216 are . There are integers that are factors of 225216
3. How to Find the LCM of 828, 192, 391 ?
Least Common Multiple of 828, 192, 391.
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(828, 192, 391) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 17 x 23 = 225216.