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, 738, 465, 330, 123 i.e. 28940670 smallest integer divisible by all numbers.
Least common multiple (LCM) of 230, 738, 465, 330, 123 is 28940670.
LCM(230, 738, 465, 330, 123) = 28940670
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 230, 738, 465, 330, 123 |
3 | 115, 369, 465, 165, 123 |
5 | 115, 41, 155, 55, 123 |
41 | 23, 41, 31, 11, 123 |
23, 1, 31, 11, 3 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 41 x 23 x 1 x 31 x 11 x 3 = 28940670
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 230,738,465,330,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(230,738,465,330,123) = 1
common factors(in case of two or more numbers have common factors) = 110700
GCF(230,738,465,330,123) x common factors =1 x 110700 = 110700
LCM(230,738,465,330,123) = ( 230 × 738 × 465 × 330 × 123 ) / 110700
LCM(230,738,465,330,123) = 3203732169000 / 110700
LCM(230,738,465,330,123) = 28940670
∴ Least Common Multiple of 230,738,465,330,123 is 28940670
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 230, 738, 465, 330, 123?
Answer: LCM of 230, 738, 465, 330, 123 is 28940670.
2. What are the Factors of 28940670?
Answer: Factors of 28940670 are . There are integers that are factors of 28940670
3. How to Find the LCM of 230, 738, 465, 330, 123 ?
Least Common Multiple of 230, 738, 465, 330, 123.
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, 738, 465, 330, 123) = 2 x 3 x 3 x 5 x 11 x 23 x 31 x 41 = 28940670.