what is lcm and gcf with example For instance given the numbers 15 and 18 their GCF is the biggest number that is a factor of that is that divides cleanly into each of 15 and 18 in this example the GCF is 3 How do you find the LCM There are two methods for finding the LCM of a pair of numbers
What is GCF and LCM GCF and LCM are two abbreviations for the greatest common factor GCF and the least common multiple LCM The GCF is the largest whole number that two or more numbers can be divided by Other names for this include the greatest common divisor GCD and the highest common factor HCF For example Example 1 Find the greatest common factor of 24 and 30 using listing the factors method Solution The factors of 24 are 1 2 3 4 6 8 12 and 24 The factors of 30 are 1 2 3 5 6 10 15 and 30 Circle the common factors The common factors of 24 and 30 are 1 2 3 and 6 Hence the greatest common factor of 24 and 30 is 6 Example 2
what is lcm and gcf with example
what is lcm and gcf with example
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Gcf 7 lcm 42 gcf lcm 294 m n 21 14 294 GCF 5 LCM 495 GCF LCM 2475 m n 45 55 2475 GCF 8 LCM 3720 GCF LCM 29760 m n 120 248 29760 mathbf 30 is the LCM Similarly the GCF can be found by listing the factors of each number and then identifying the greatest factor that is shared For example the GCF of 40 and 32 can be found by listing the factors of each number 40 1 2 4 5 mathbf8 10 20 40 32 1 2 4 mathbf8 16 32
Since 1 divides into everything then the greatest common factor in this case is just 1 When 1 is the GCF the numbers are said to be relatively prime that is they are prime relative to each other Then the GCF is 1 and the LCM is 2 2 2 3 24 What is GCF and LCM example GCF of 12 and 18 The factors of 12 are 1 2 3 4 6 and 12 The factors of 18 are 1 2 3 6 9 and 18 The common factors of 12 and 18 are 1 2 3 and 6
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Google Classroom About Transcript The least common multiple LCM is the smallest number that two or more numbers can divide into evenly To find the LCM you can use the prime factorization method or list the multiples of each number For example the greatest common factor of 20 and 16 is 4 as both numbers can be divided by that value 20 4 5 16 4 4 How do I calculate the GCF To find the greatest common factor in any set of numbers follow these easy steps
Greatest common factor 2024 Khan Academy Terms of use Privacy Policy Cookie Notice GCF LCM word problems Google Classroom About Transcript Here we have a couple of word problems one searching for the least common multiple and the other for the greatest common factor Just read them with us slowly and follow along You ll get it Example 1 The GCF of 12 and 16 is 4 What is the LCM of 12 and 16 You can determine the LCM of latex 12 latex and latex 16 latex using either of the two methods below Finding LCM using the List Method Finding LCM using the Prime Factorization Method However there is a much faster way
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what is lcm and gcf with example - mathbf 30 is the LCM Similarly the GCF can be found by listing the factors of each number and then identifying the greatest factor that is shared For example the GCF of 40 and 32 can be found by listing the factors of each number 40 1 2 4 5 mathbf8 10 20 40 32 1 2 4 mathbf8 16 32