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 230, 891, 189, 276 i.e. 2869020 smallest integer divisible by all numbers.
Least common multiple (LCM) of 230, 891, 189, 276 is 2869020.
LCM(230, 891, 189, 276) = 2869020
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 230, 891, 189, 276 |
3 | 115, 891, 189, 138 |
3 | 115, 297, 63, 46 |
3 | 115, 99, 21, 46 |
23 | 115, 33, 7, 46 |
5, 33, 7, 2 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 23 x 5 x 33 x 7 x 2 = 2869020
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 230,891,189,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(230,891,189,276) = 1
common factors(in case of two or more numbers have common factors) = 3726
GCF(230,891,189,276) x common factors =1 x 3726 = 3726
LCM(230,891,189,276) = ( 230 × 891 × 189 × 276 ) / 3726
LCM(230,891,189,276) = 10689968520 / 3726
LCM(230,891,189,276) = 2869020
∴ Least Common Multiple of 230,891,189,276 is 2869020
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 230, 891, 189, 276?
Answer: LCM of 230, 891, 189, 276 is 2869020.
2. What are the Factors of 2869020?
Answer: Factors of 2869020 are . There are integers that are factors of 2869020
3. How to Find the LCM of 230, 891, 189, 276 ?
Least Common Multiple of 230, 891, 189, 276.
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(230, 891, 189, 276) = 2 x 2 x 3 x 3 x 3 x 3 x 5 x 7 x 11 x 23 = 2869020.