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 816, 576, 374, 308, 366 i.e. 45993024 smallest integer divisible by all numbers.
Least common multiple (LCM) of 816, 576, 374, 308, 366 is 45993024.
LCM(816, 576, 374, 308, 366) = 45993024
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 816, 576, 374, 308, 366 |
2 | 408, 288, 187, 154, 183 |
2 | 204, 144, 187, 77, 183 |
2 | 102, 72, 187, 77, 183 |
3 | 51, 36, 187, 77, 183 |
11 | 17, 12, 187, 77, 61 |
17 | 17, 12, 17, 7, 61 |
1, 12, 1, 7, 61 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 11 x 17 x 1 x 12 x 1 x 7 x 61 = 45993024
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 816,576,374,308,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(816,576,374,308,366) = 2
common factors(in case of two or more numbers have common factors) = 215424
GCF(816,576,374,308,366) x common factors =2 x 215424 = 430848
LCM(816,576,374,308,366) = ( 816 × 576 × 374 × 308 × 366 ) / 430848
LCM(816,576,374,308,366) = 19816002404352 / 430848
LCM(816,576,374,308,366) = 45993024
∴ Least Common Multiple of 816,576,374,308,366 is 45993024
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 816, 576, 374, 308, 366?
Answer: LCM of 816, 576, 374, 308, 366 is 45993024.
2. What are the Factors of 45993024?
Answer: Factors of 45993024 are . There are integers that are factors of 45993024
3. How to Find the LCM of 816, 576, 374, 308, 366 ?
Least Common Multiple of 816, 576, 374, 308, 366.
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(816, 576, 374, 308, 366) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 11 x 17 x 61 = 45993024.