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 17, 17, 822 i.e. 13974 smallest integer divisible by all numbers.
Least common multiple (LCM) of 17, 17, 822 is 13974.
LCM(17, 17, 822) = 13974
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
17 | 17, 17, 822 |
1, 1, 822 |
∴ So the LCM of the given numbers is 17 x 1 x 1 x 822 = 13974
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 17,17,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,17,822) = 1
common factors(in case of two or more numbers have common factors) = 17
GCF(17,17,822) x common factors =1 x 17 = 17
LCM(17,17,822) = ( 17 × 17 × 822 ) / 17
LCM(17,17,822) = 237558 / 17
LCM(17,17,822) = 13974
∴ Least Common Multiple of 17,17,822 is 13974
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 17, 17, 822?
Answer: LCM of 17, 17, 822 is 13974.
2. What are the Factors of 13974?
Answer: Factors of 13974 are . There are integers that are factors of 13974
3. How to Find the LCM of 17, 17, 822 ?
Least Common Multiple of 17, 17, 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(17, 17, 822) = 2 x 3 x 17 x 137 = 13974.