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 585, 397, 754, 270, 350 i.e. 1414372050 smallest integer divisible by all numbers.
Least common multiple (LCM) of 585, 397, 754, 270, 350 is 1414372050.
LCM(585, 397, 754, 270, 350) = 1414372050
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 585, 397, 754, 270, 350 |
3 | 585, 397, 377, 135, 175 |
3 | 195, 397, 377, 45, 175 |
5 | 65, 397, 377, 15, 175 |
13 | 13, 397, 377, 3, 35 |
1, 397, 29, 3, 35 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 13 x 1 x 397 x 29 x 3 x 35 = 1414372050
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 585,397,754,270,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(585,397,754,270,350) = 1
common factors(in case of two or more numbers have common factors) = 11700
GCF(585,397,754,270,350) x common factors =1 x 11700 = 11700
LCM(585,397,754,270,350) = ( 585 × 397 × 754 × 270 × 350 ) / 11700
LCM(585,397,754,270,350) = 16548152985000 / 11700
LCM(585,397,754,270,350) = 1414372050
∴ Least Common Multiple of 585,397,754,270,350 is 1414372050
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 585, 397, 754, 270, 350?
Answer: LCM of 585, 397, 754, 270, 350 is 1414372050.
2. What are the Factors of 1414372050?
Answer: Factors of 1414372050 are . There are integers that are factors of 1414372050
3. How to Find the LCM of 585, 397, 754, 270, 350 ?
Least Common Multiple of 585, 397, 754, 270, 350.
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(585, 397, 754, 270, 350) = 2 x 3 x 3 x 3 x 5 x 5 x 7 x 13 x 29 x 397 = 1414372050.