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 412, 420, 316 i.e. 3417540 smallest integer divisible by all numbers.
Least common multiple (LCM) of 412, 420, 316 is 3417540.
LCM(412, 420, 316) = 3417540
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 412, 420, 316 |
2 | 206, 210, 158 |
103, 105, 79 |
∴ So the LCM of the given numbers is 2 x 2 x 103 x 105 x 79 = 3417540
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 412,420,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(412,420,316) = 4
common factors(in case of two or more numbers have common factors) = 4
GCF(412,420,316) x common factors =4 x 4 = 16
LCM(412,420,316) = ( 412 × 420 × 316 ) / 16
LCM(412,420,316) = 54680640 / 16
LCM(412,420,316) = 3417540
∴ Least Common Multiple of 412,420,316 is 3417540
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 412, 420, 316?
Answer: LCM of 412, 420, 316 is 3417540.
2. What are the Factors of 3417540?
Answer: Factors of 3417540 are . There are integers that are factors of 3417540
3. How to Find the LCM of 412, 420, 316 ?
Least Common Multiple of 412, 420, 316.
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(412, 420, 316) = 2 x 2 x 3 x 5 x 7 x 79 x 103 = 3417540.