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 978, 489, 255, 233, 363 i.e. 2343684090 smallest integer divisible by all numbers.
Least common multiple (LCM) of 978, 489, 255, 233, 363 is 2343684090.
LCM(978, 489, 255, 233, 363) = 2343684090
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
3 | 978, 489, 255, 233, 363 |
163 | 326, 163, 85, 233, 121 |
2, 1, 85, 233, 121 |
∴ So the LCM of the given numbers is 3 x 163 x 2 x 1 x 85 x 233 x 121 = 2343684090
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 978,489,255,233,363 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,489,255,233,363) = 1
common factors(in case of two or more numbers have common factors) = 4401
GCF(978,489,255,233,363) x common factors =1 x 4401 = 4401
LCM(978,489,255,233,363) = ( 978 × 489 × 255 × 233 × 363 ) / 4401
LCM(978,489,255,233,363) = 10314553680090 / 4401
LCM(978,489,255,233,363) = 2343684090
∴ Least Common Multiple of 978,489,255,233,363 is 2343684090
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 978, 489, 255, 233, 363?
Answer: LCM of 978, 489, 255, 233, 363 is 2343684090.
2. What are the Factors of 2343684090?
Answer: Factors of 2343684090 are . There are integers that are factors of 2343684090
3. How to Find the LCM of 978, 489, 255, 233, 363 ?
Least Common Multiple of 978, 489, 255, 233, 363.
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(978, 489, 255, 233, 363) = 2 x 3 x 5 x 11 x 11 x 17 x 163 x 233 = 2343684090.