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 86, 45, 590 i.e. 228330 smallest integer divisible by all numbers.
Least common multiple (LCM) of 86, 45, 590 is 228330.
LCM(86, 45, 590) = 228330
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 86, 45, 590 |
5 | 43, 45, 295 |
43, 9, 59 |
∴ So the LCM of the given numbers is 2 x 5 x 43 x 9 x 59 = 228330
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 86,45,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,45,590) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(86,45,590) x common factors =1 x 10 = 10
LCM(86,45,590) = ( 86 × 45 × 590 ) / 10
LCM(86,45,590) = 2283300 / 10
LCM(86,45,590) = 228330
∴ Least Common Multiple of 86,45,590 is 228330
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 86, 45, 590?
Answer: LCM of 86, 45, 590 is 228330.
2. What are the Factors of 228330?
Answer: Factors of 228330 are . There are integers that are factors of 228330
3. How to Find the LCM of 86, 45, 590 ?
Least Common Multiple of 86, 45, 590.
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(86, 45, 590) = 2 x 3 x 3 x 5 x 43 x 59 = 228330.