How to find gcf and lcm

GCF & LCM word problems

how to find gcf and lcm


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With a little bit of help the students were able to come up with definitions for each of them and described the method they had used in the past to find the greatest common factor and least common multiple of two numbers. Previously the students had learned to list all the factors of 2 numbers and find the largest one they had in common. Similarly, to find the least common multiple, the class had learned to list multiples of the numbers until they found one in common. Then we discussed the limitations of this method for finding the GCF and LCM, mainly the fact that if I gave them much larger numbers it would be very time-consuming to list all the factors or list multiples until they found one in common. You then find ANY common factor of the two numbers and write that factor to the left of them. You then divide the numbers by their common factor and write the quotients underneath the numbers.

Grade 5 math examples and questions on how to find the LCM and GCF.
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Then here's the trick! First, I need to factor each of the numbers they've given me:. Multiples and Least Common Multiples. This left me with another even number, , so I divided by 2 again. The result, , is divisible by 5 , but 3 divides in also, and it's smaller, so I divided by 3 to get This is not divisible by 3 but is divisible by 5 , so I divided by 5 and got 49 , which is divisible by 7. I've divided each of the given numbers by the smallest primes that fit into them, until I ended up with a prime result.

Examples and questions with answers. In order to help you check your answers, a calculator for the LCM and a calculator for the GFC of two numbers are provided. Calculate the lowest common multiple of two positive integers. Calculate the greatest common factor of two positive integers. Find the first few multiples of the two numbers as follows: 6: 6 , 12 , 18 , 24 , 30 , The lowest multiple that is common to 6 and 4 is

Finding GCF & LCM Using the Grid Method

How to find the greatest common factor - from

Find the GCF and LCM using prime factorization

If you're seeing this message, it means we're having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Math Pre-algebra Factors and multiples Greatest common factor. Greatest common factor examples. Greatest common factor explained.

Ask Dr. Common multiples of 2 and 3 are 0, 6, 12, 18, The least common multiple LCM of two numbers is the smallest number excluding zero that is a multiple of both of the numbers. Here are two least common multiple questions from the Dr. Math archives: Least Common Multiple Puzzle What is the smallest number divisible by 1,2,3,4,5,6,8,9,10 that is not ? How many laps do they need to run to cross the finish line at the same time?

The Least Common Multiple , or LCM, of two or more numbers is the smallest number other than zero that's a multiple of each number. In other words, the LCM is the smallest number they all divide into evenly. There are two ways to find the LCM. Method 1 is to make a list of multiples for each number till we find a multiple on both lists. To find the LCM of 4 and 6, we list a few multiples of 4 and a few multiples of 6 and then check to see if they have a multiple in common.

The least common multiple, or LCM, is another number that's useful in solving many math problems. Let's find the LCM of 30 and One way to find the least.
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3 thoughts on “How to find gcf and lcm

  1. To find either the Least Common Multiple (LCM) or Greatest Common Factor ( GCF) of two numbers, you always start out the same way: you find the prime.

  2. The GCF and LCM calculator (also called the GCF finder) will determine the greatest common factor and least common multiple of a set of two to six numbers.

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