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 174, 580, 905 i.e. 314940 smallest integer divisible by all numbers.
Least common multiple (LCM) of 174, 580, 905 is 314940.
LCM(174, 580, 905) = 314940
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 174, 580, 905 |
5 | 87, 290, 905 |
29 | 87, 58, 181 |
3, 2, 181 |
∴ So the LCM of the given numbers is 2 x 5 x 29 x 3 x 2 x 181 = 314940
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 174,580,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,580,905) = 1
common factors(in case of two or more numbers have common factors) = 290
GCF(174,580,905) x common factors =1 x 290 = 290
LCM(174,580,905) = ( 174 × 580 × 905 ) / 290
LCM(174,580,905) = 91332600 / 290
LCM(174,580,905) = 314940
∴ Least Common Multiple of 174,580,905 is 314940
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 174, 580, 905?
Answer: LCM of 174, 580, 905 is 314940.
2. What are the Factors of 314940?
Answer: Factors of 314940 are . There are integers that are factors of 314940
3. How to Find the LCM of 174, 580, 905 ?
Least Common Multiple of 174, 580, 905.
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(174, 580, 905) = 2 x 2 x 3 x 5 x 29 x 181 = 314940.