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 780, 474, 300, 936, 489 i.e. 301321800 smallest integer divisible by all numbers.
Least common multiple (LCM) of 780, 474, 300, 936, 489 is 301321800.
LCM(780, 474, 300, 936, 489) = 301321800
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 780, 474, 300, 936, 489 |
2 | 390, 237, 150, 468, 489 |
3 | 195, 237, 75, 234, 489 |
5 | 65, 79, 25, 78, 163 |
13 | 13, 79, 5, 78, 163 |
1, 79, 5, 6, 163 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 13 x 1 x 79 x 5 x 6 x 163 = 301321800
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 780,474,300,936,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(780,474,300,936,489) = 3
common factors(in case of two or more numbers have common factors) = 56160
GCF(780,474,300,936,489) x common factors =3 x 56160 = 168480
LCM(780,474,300,936,489) = ( 780 × 474 × 300 × 936 × 489 ) / 168480
LCM(780,474,300,936,489) = 50766696864000 / 168480
LCM(780,474,300,936,489) = 301321800
∴ Least Common Multiple of 780,474,300,936,489 is 301321800
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 780, 474, 300, 936, 489?
Answer: LCM of 780, 474, 300, 936, 489 is 301321800.
2. What are the Factors of 301321800?
Answer: Factors of 301321800 are . There are integers that are factors of 301321800
3. How to Find the LCM of 780, 474, 300, 936, 489 ?
Least Common Multiple of 780, 474, 300, 936, 489.
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(780, 474, 300, 936, 489) = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 13 x 79 x 163 = 301321800.