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 518, 171, 684 i.e. 177156 smallest integer divisible by all numbers.
Least common multiple (LCM) of 518, 171, 684 is 177156.
LCM(518, 171, 684) = 177156
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 518, 171, 684 |
3 | 259, 171, 342 |
3 | 259, 57, 114 |
19 | 259, 19, 38 |
259, 1, 2 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 19 x 259 x 1 x 2 = 177156
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 518,171,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(518,171,684) = 1
common factors(in case of two or more numbers have common factors) = 342
GCF(518,171,684) x common factors =1 x 342 = 342
LCM(518,171,684) = ( 518 × 171 × 684 ) / 342
LCM(518,171,684) = 60587352 / 342
LCM(518,171,684) = 177156
∴ Least Common Multiple of 518,171,684 is 177156
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 518, 171, 684?
Answer: LCM of 518, 171, 684 is 177156.
2. What are the Factors of 177156?
Answer: Factors of 177156 are . There are integers that are factors of 177156
3. How to Find the LCM of 518, 171, 684 ?
Least Common Multiple of 518, 171, 684.
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(518, 171, 684) = 2 x 2 x 3 x 3 x 7 x 19 x 37 = 177156.