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 287, 684, 308, 306, 711 i.e. 2900058084 smallest integer divisible by all numbers.
Least common multiple (LCM) of 287, 684, 308, 306, 711 is 2900058084.
LCM(287, 684, 308, 306, 711) = 2900058084
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 287, 684, 308, 306, 711 |
2 | 287, 342, 154, 153, 711 |
3 | 287, 171, 77, 153, 711 |
3 | 287, 57, 77, 51, 237 |
7 | 287, 19, 77, 17, 79 |
41, 19, 11, 17, 79 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 7 x 41 x 19 x 11 x 17 x 79 = 2900058084
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 287,684,308,306,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(287,684,308,306,711) = 1
common factors(in case of two or more numbers have common factors) = 4536
GCF(287,684,308,306,711) x common factors =1 x 4536 = 4536
LCM(287,684,308,306,711) = ( 287 × 684 × 308 × 306 × 711 ) / 4536
LCM(287,684,308,306,711) = 13154663469024 / 4536
LCM(287,684,308,306,711) = 2900058084
∴ Least Common Multiple of 287,684,308,306,711 is 2900058084
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 287, 684, 308, 306, 711?
Answer: LCM of 287, 684, 308, 306, 711 is 2900058084.
2. What are the Factors of 2900058084?
Answer: Factors of 2900058084 are . There are integers that are factors of 2900058084
3. How to Find the LCM of 287, 684, 308, 306, 711 ?
Least Common Multiple of 287, 684, 308, 306, 711.
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(287, 684, 308, 306, 711) = 2 x 2 x 3 x 3 x 7 x 11 x 17 x 19 x 41 x 79 = 2900058084.