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 588, 408, 102, 438, 981 i.e. 477229032 smallest integer divisible by all numbers.
Least common multiple (LCM) of 588, 408, 102, 438, 981 is 477229032.
LCM(588, 408, 102, 438, 981) = 477229032
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 588, 408, 102, 438, 981 |
2 | 294, 204, 51, 219, 981 |
3 | 147, 102, 51, 219, 981 |
17 | 49, 34, 17, 73, 327 |
49, 2, 1, 73, 327 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 49 x 2 x 1 x 73 x 327 = 477229032
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 588,408,102,438,981 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(588,408,102,438,981) = 3
common factors(in case of two or more numbers have common factors) = 7344
GCF(588,408,102,438,981) x common factors =3 x 7344 = 22032
LCM(588,408,102,438,981) = ( 588 × 408 × 102 × 438 × 981 ) / 22032
LCM(588,408,102,438,981) = 10514310033024 / 22032
LCM(588,408,102,438,981) = 477229032
∴ Least Common Multiple of 588,408,102,438,981 is 477229032
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 588, 408, 102, 438, 981?
Answer: LCM of 588, 408, 102, 438, 981 is 477229032.
2. What are the Factors of 477229032?
Answer: Factors of 477229032 are . There are integers that are factors of 477229032
3. How to Find the LCM of 588, 408, 102, 438, 981 ?
Least Common Multiple of 588, 408, 102, 438, 981.
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(588, 408, 102, 438, 981) = 2 x 2 x 2 x 3 x 3 x 7 x 7 x 17 x 73 x 109 = 477229032.