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, 24, 72, 591 i.e. 14184 smallest integer divisible by all numbers.
Least common multiple (LCM) of 12, 24, 72, 591 is 14184.
LCM(12, 24, 72, 591) = 14184
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 12, 24, 72, 591 |
2 | 6, 12, 36, 591 |
2 | 3, 6, 18, 591 |
3 | 3, 3, 9, 591 |
1, 1, 3, 197 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 1 x 3 x 197 = 14184
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 12,24,72,591 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,24,72,591) = 3
common factors(in case of two or more numbers have common factors) = 288
GCF(12,24,72,591) x common factors =3 x 288 = 864
LCM(12,24,72,591) = ( 12 × 24 × 72 × 591 ) / 864
LCM(12,24,72,591) = 12254976 / 864
LCM(12,24,72,591) = 14184
∴ Least Common Multiple of 12,24,72,591 is 14184
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 12, 24, 72, 591?
Answer: LCM of 12, 24, 72, 591 is 14184.
2. What are the Factors of 14184?
Answer: Factors of 14184 are . There are integers that are factors of 14184
3. How to Find the LCM of 12, 24, 72, 591 ?
Least Common Multiple of 12, 24, 72, 591.
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, 24, 72, 591) = 2 x 2 x 2 x 3 x 3 x 197 = 14184.