Least Common Multiple (LCM) of 50 and 194
The least common multiple (LCM) of 50 and 194 is 4850.
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 50 and 194?
First, calculate the GCD of 50 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 50 ÷ 194 = 0 remainder 50 |
| 2 | 194 ÷ 50 = 3 remainder 44 |
| 3 | 50 ÷ 44 = 1 remainder 6 |
| 4 | 44 ÷ 6 = 7 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 141 and 105 | 4935 |
| 82 and 146 | 5986 |
| 34 and 199 | 6766 |
| 120 and 16 | 240 |
| 144 and 132 | 1584 |