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, 917, 426, 189, 138 i.e. 404314470 smallest integer divisible by all numbers.
Least common multiple (LCM) of 230, 917, 426, 189, 138 is 404314470.
LCM(230, 917, 426, 189, 138) = 404314470
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 230, 917, 426, 189, 138 |
3 | 115, 917, 213, 189, 69 |
7 | 115, 917, 71, 63, 23 |
23 | 115, 131, 71, 9, 23 |
5, 131, 71, 9, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 23 x 5 x 131 x 71 x 9 x 1 = 404314470
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 230,917,426,189,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(230,917,426,189,138) = 1
common factors(in case of two or more numbers have common factors) = 5796
GCF(230,917,426,189,138) x common factors =1 x 5796 = 5796
LCM(230,917,426,189,138) = ( 230 × 917 × 426 × 189 × 138 ) / 5796
LCM(230,917,426,189,138) = 2343406668120 / 5796
LCM(230,917,426,189,138) = 404314470
∴ Least Common Multiple of 230,917,426,189,138 is 404314470
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 230, 917, 426, 189, 138?
Answer: LCM of 230, 917, 426, 189, 138 is 404314470.
2. What are the Factors of 404314470?
Answer: Factors of 404314470 are . There are integers that are factors of 404314470
3. How to Find the LCM of 230, 917, 426, 189, 138 ?
Least Common Multiple of 230, 917, 426, 189, 138.
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, 917, 426, 189, 138) = 2 x 3 x 3 x 3 x 5 x 7 x 23 x 71 x 131 = 404314470.