Least Common Multiple (LCM) of 49 and 190
The least common multiple (LCM) of 49 and 190 is 9310.
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 49 and 190?
First, calculate the GCD of 49 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 49 ÷ 190 = 0 remainder 49 |
| 2 | 190 ÷ 49 = 3 remainder 43 |
| 3 | 49 ÷ 43 = 1 remainder 6 |
| 4 | 43 ÷ 6 = 7 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 196 and 110 | 10780 |
| 77 and 138 | 10626 |
| 107 and 194 | 20758 |
| 74 and 155 | 11470 |
| 175 and 90 | 3150 |