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 12, 14, 230, 720 i.e. 115920 smallest integer divisible by all numbers.
Least common multiple (LCM) of 12, 14, 230, 720 is 115920.
LCM(12, 14, 230, 720) = 115920
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 12, 14, 230, 720 |
2 | 6, 7, 115, 360 |
3 | 3, 7, 115, 180 |
5 | 1, 7, 115, 60 |
1, 7, 23, 12 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 7 x 23 x 12 = 115920
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 12,14,230,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,14,230,720) = 2
common factors(in case of two or more numbers have common factors) = 120
GCF(12,14,230,720) x common factors =2 x 120 = 240
LCM(12,14,230,720) = ( 12 × 14 × 230 × 720 ) / 240
LCM(12,14,230,720) = 27820800 / 240
LCM(12,14,230,720) = 115920
∴ Least Common Multiple of 12,14,230,720 is 115920
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 12, 14, 230, 720?
Answer: LCM of 12, 14, 230, 720 is 115920.
2. What are the Factors of 115920?
Answer: Factors of 115920 are . There are integers that are factors of 115920
3. How to Find the LCM of 12, 14, 230, 720 ?
Least Common Multiple of 12, 14, 230, 720.
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(12, 14, 230, 720) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 23 = 115920.