GCF and LCM of 15 and 20

Enter GCF or LCM numbers:

Determine GCF(15,20,30)

Determine the factors for 15

1,3,5,15

Determine the factors for 20

1,2,4,5,10

Determine the factors for 30

1,2,3,5,6,10,15

The common factors between them are 1,5

GCF(15,20,30) = 5

Calculate LCM(15,20,30)

List the first few multiples for 15

15,30,45,60,75,90,105

List the first few multiples for 20

20,40,60,80,100,120

List the first few multiples for 30

30,60,90,120,150

LCM is the smallest common number:

LCM(15,20,30) is 60

What is the Answer?

LCM(15,20,30) is 60

How does the Greatest Common Factor and Least Common Multiple Calculator work?

Given 2 or 3 numbers, the calculator determines the following:
* Greatest Common Factor (GCF) using Factor Pairs
* Rewrite Sum using the Distributive Property and factoring out the GCF
* Least Common Multiple (LCM) / Least Common Denominator (LCD) using Factor Pairs
* GCF using the method of Successive Division
* GCF using the Prime Factorization method
* Determine if the numbers are coprime and twin prime
This calculator has 3 inputs.

What 11 concepts are covered in the Greatest Common Factor and Least Common Multiple Calculator?

division: separate a number into parts
division: separate a number into parts
factor: a divisor of an integer n, also called a factor of n, is an integer m that may be multiplied by some integer to produce n.
greatest common factor: largest positive integer dividing a set of integers
greatest common factor and least common multiple
least common multiple: Given 2 numbers a and b, the least common multiple LCM is the smallest positive integer that is divisible by both. It is commonly denoted as LCM(a, b)
minimum: the least or lowest amount possible or attained
multiple: the product of any quantity and an integer
number: an arithmetical value, expressed by a word, symbol, or figure, representing a particular quantity and used in counting and making calculations and for showing order in a series or for identification. A quantity or amount.
prime factorization: the prime numbers that divide that integer exactly
remainder: The portion of a division operation leftover after dividing two integers

Example calculations for the Greatest Common Factor and Least Common Multiple Calculator

Greatest Common Factor and Least Common Multiple Calculator Video

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