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 735, 582, 632, 980, 339 i.e. 5091603720 smallest integer divisible by all numbers.
Least common multiple (LCM) of 735, 582, 632, 980, 339 is 5091603720.
LCM(735, 582, 632, 980, 339) = 5091603720
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 735, 582, 632, 980, 339 |
2 | 735, 291, 316, 490, 339 |
3 | 735, 291, 158, 245, 339 |
5 | 245, 97, 158, 245, 113 |
7 | 49, 97, 158, 49, 113 |
7 | 7, 97, 158, 7, 113 |
1, 97, 158, 1, 113 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 7 x 7 x 1 x 97 x 158 x 1 x 113 = 5091603720
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 735,582,632,980,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(735,582,632,980,339) = 1
common factors(in case of two or more numbers have common factors) = 17640
GCF(735,582,632,980,339) x common factors =1 x 17640 = 17640
LCM(735,582,632,980,339) = ( 735 × 582 × 632 × 980 × 339 ) / 17640
LCM(735,582,632,980,339) = 89815889620800 / 17640
LCM(735,582,632,980,339) = 5091603720
∴ Least Common Multiple of 735,582,632,980,339 is 5091603720
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 735, 582, 632, 980, 339?
Answer: LCM of 735, 582, 632, 980, 339 is 5091603720.
2. What are the Factors of 5091603720?
Answer: Factors of 5091603720 are . There are integers that are factors of 5091603720
3. How to Find the LCM of 735, 582, 632, 980, 339 ?
Least Common Multiple of 735, 582, 632, 980, 339.
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(735, 582, 632, 980, 339) = 2 x 2 x 2 x 3 x 5 x 7 x 7 x 79 x 97 x 113 = 5091603720.