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 8540, 3416 i.e. 17080 smallest integer divisible by all numbers.
Least common multiple (LCM) of 8540, 3416 is 17080.
LCM(8540, 3416) = 17080
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 8540, 3416 |
2 | 4270, 1708 |
7 | 2135, 854 |
61 | 305, 122 |
5, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 61 x 5 x 2 = 17080
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 8540,3416 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8540,3416) = 1708
common factors(in case of two or more numbers have common factors) = 1
GCF(8540,3416) x common factors =1708 x 1 = 1708
LCM(8540,3416) = ( 8540 × 3416 ) / 1708
LCM(8540,3416) = 29172640 / 1708
LCM(8540,3416) = 17080
∴ Least Common Multiple of 8540,3416 is 17080
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 8540, 3416?
Answer: LCM of 8540, 3416 is 17080.
2. What are the Factors of 17080?
Answer: Factors of 17080 are . There are integers that are factors of 17080
3. How to Find the LCM of 8540, 3416 ?
Least Common Multiple of 8540, 3416.
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(8540, 3416) = 2 x 2 x 2 x 5 x 7 x 61 = 17080.