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 18, 39, 20, 905 i.e. 423540 smallest integer divisible by all numbers.
Least common multiple (LCM) of 18, 39, 20, 905 is 423540.
LCM(18, 39, 20, 905) = 423540
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 18, 39, 20, 905 |
3 | 9, 39, 10, 905 |
5 | 3, 13, 10, 905 |
3, 13, 2, 181 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 3 x 13 x 2 x 181 = 423540
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 18,39,20,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,39,20,905) = 1
common factors(in case of two or more numbers have common factors) = 30
GCF(18,39,20,905) x common factors =1 x 30 = 30
LCM(18,39,20,905) = ( 18 × 39 × 20 × 905 ) / 30
LCM(18,39,20,905) = 12706200 / 30
LCM(18,39,20,905) = 423540
∴ Least Common Multiple of 18,39,20,905 is 423540
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 18, 39, 20, 905?
Answer: LCM of 18, 39, 20, 905 is 423540.
2. What are the Factors of 423540?
Answer: Factors of 423540 are . There are integers that are factors of 423540
3. How to Find the LCM of 18, 39, 20, 905 ?
Least Common Multiple of 18, 39, 20, 905.
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(18, 39, 20, 905) = 2 x 2 x 3 x 3 x 5 x 13 x 181 = 423540.