Least Common Multiple (LCM) of 493 and 350
The least common multiple (LCM) of 493 and 350 is 172550.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 493 and 350?
First, calculate the GCD of 493 and 350 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 493 ÷ 350 = 1 remainder 143 |
| 2 | 350 ÷ 143 = 2 remainder 64 |
| 3 | 143 ÷ 64 = 2 remainder 15 |
| 4 | 64 ÷ 15 = 4 remainder 4 |
| 5 | 15 ÷ 4 = 3 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 88 | 10120 |
| 11 and 53 | 583 |
| 155 and 123 | 19065 |
| 12 and 71 | 852 |
| 181 and 105 | 19005 |