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 491, 548, 822 i.e. 807204 smallest integer divisible by all numbers.
Least common multiple (LCM) of 491, 548, 822 is 807204.
LCM(491, 548, 822) = 807204
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 491, 548, 822 |
137 | 491, 274, 411 |
491, 2, 3 |
∴ So the LCM of the given numbers is 2 x 137 x 491 x 2 x 3 = 807204
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 491,548,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(491,548,822) = 1
common factors(in case of two or more numbers have common factors) = 274
GCF(491,548,822) x common factors =1 x 274 = 274
LCM(491,548,822) = ( 491 × 548 × 822 ) / 274
LCM(491,548,822) = 221173896 / 274
LCM(491,548,822) = 807204
∴ Least Common Multiple of 491,548,822 is 807204
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 491, 548, 822?
Answer: LCM of 491, 548, 822 is 807204.
2. What are the Factors of 807204?
Answer: Factors of 807204 are . There are integers that are factors of 807204
3. How to Find the LCM of 491, 548, 822 ?
Least Common Multiple of 491, 548, 822.
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(491, 548, 822) = 2 x 2 x 3 x 137 x 491 = 807204.