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Least Common Multiple (LCM) of 192 and 50

The least common multiple (LCM) of 192 and 50 is 4800.

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 192 and 50?

First, calculate the GCD of 192 and 50 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 192 ÷ 50 = 3 remainder 42
2 50 ÷ 42 = 1 remainder 8
3 42 ÷ 8 = 5 remainder 2
4 8 ÷ 2 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
176 and 11319888
149 and 12218178
162 and 342754
196 and 8115876
92 and 1884324

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