LCM and GCF Calculator
Calculate the Least Common Multiple (LCM) and Greatest Common Factor (GCF) of multiple numbers quickly and easily.
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Enter at least 2 numbers separated by commas
About LCM and GCF
Greatest Common Factor (GCF), also known as Greatest Common Divisor (GCD), is the largest positive integer that divides each of the given numbers without a remainder.
Least Common Multiple (LCM) is the smallest positive integer that is divisible by each of the given numbers.
These concepts are fundamental in mathematics and have applications in fractions, algebra, and number theory.
Understanding LCM and GCF
The Greatest Common Factor (GCF), also known as Greatest Common Divisor (GCD), is the largest positive integer that divides each of the given numbers without a remainder. The Least Common Multiple (LCM) is the smallest positive integer that is divisible by each of the given numbers.
These concepts are fundamental in mathematics and have applications in fractions, algebra, and number theory. Use this calculator to quickly find the LCM and GCF of any set of numbers.
Frequently Asked Questions
GCF (Greatest Common Factor) is the largest number that divides all given numbers evenly, while LCM (Least Common Multiple) is the smallest number that all given numbers divide into evenly.
To find the GCF of multiple numbers, you can find the GCF of the first two numbers, then find the GCF of that result with the third number, and so on. This calculator does this automatically for you.
When numbers have no common factors other than 1 (like 7 and 11), their GCF is 1. These are called coprime or relatively prime numbers.
Yes, this calculator handles negative numbers. The GCF is always positive, and the calculator uses the absolute values of the numbers to compute it.
LCM is commonly used for finding common denominators in fractions, scheduling recurring events, and solving word problems. GCF is used for simplifying fractions, factoring polynomials, and dividing items into groups.