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 905, 410, 724 i.e. 148420 smallest integer divisible by all numbers.
Least common multiple (LCM) of 905, 410, 724 is 148420.
LCM(905, 410, 724) = 148420
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 905, 410, 724 |
5 | 905, 205, 362 |
181 | 181, 41, 362 |
1, 41, 2 |
∴ So the LCM of the given numbers is 2 x 5 x 181 x 1 x 41 x 2 = 148420
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 905,410,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(905,410,724) = 1
common factors(in case of two or more numbers have common factors) = 1810
GCF(905,410,724) x common factors =1 x 1810 = 1810
LCM(905,410,724) = ( 905 × 410 × 724 ) / 1810
LCM(905,410,724) = 268640200 / 1810
LCM(905,410,724) = 148420
∴ Least Common Multiple of 905,410,724 is 148420
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 905, 410, 724?
Answer: LCM of 905, 410, 724 is 148420.
2. What are the Factors of 148420?
Answer: Factors of 148420 are . There are integers that are factors of 148420
3. How to Find the LCM of 905, 410, 724 ?
Least Common Multiple of 905, 410, 724.
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(905, 410, 724) = 2 x 2 x 5 x 41 x 181 = 148420.