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 486, 390, 741 i.e. 600210 smallest integer divisible by all numbers.
Least common multiple (LCM) of 486, 390, 741 is 600210.
LCM(486, 390, 741) = 600210
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 486, 390, 741 |
3 | 243, 195, 741 |
13 | 81, 65, 247 |
81, 5, 19 |
∴ So the LCM of the given numbers is 2 x 3 x 13 x 81 x 5 x 19 = 600210
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 486,390,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(486,390,741) = 3
common factors(in case of two or more numbers have common factors) = 78
GCF(486,390,741) x common factors =3 x 78 = 234
LCM(486,390,741) = ( 486 × 390 × 741 ) / 234
LCM(486,390,741) = 140449140 / 234
LCM(486,390,741) = 600210
∴ Least Common Multiple of 486,390,741 is 600210
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 486, 390, 741?
Answer: LCM of 486, 390, 741 is 600210.
2. What are the Factors of 600210?
Answer: Factors of 600210 are . There are integers that are factors of 600210
3. How to Find the LCM of 486, 390, 741 ?
Least Common Multiple of 486, 390, 741.
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(486, 390, 741) = 2 x 3 x 3 x 3 x 3 x 3 x 5 x 13 x 19 = 600210.