First you write down the numbers you are given and put them on an upside-down long division symbol. Divide the two together until you get to where you cannot divide any longer. Take the right side and bottom numbers and multiply them. This should be your LCM. If you cannot divide them at the first division, use the Listing Method, which is listing some of the multiples of that number and see which one is the smallest same number.
Hope this helped.
If you already know the ladder method, the LCM can be found by multiplying all of the numbers outside of the L's together. If you don't know the ladder method, it will be particularly difficult to draw it in this format. There are many fine videos online that show this method.
All of the "methods" for finding the LCM (ladders, rainbows, trees, fireworks, lattices, cakes, etc.) are just different ways of notating the same process: finding and combining the prime factorizations of the given numbers. Consider 30 and 42. Factor trees are easier to notate here.
30
2,15
2,3,5
42
2,21
2,3,7
2 x 3 x 5 = 30
2 x 3 x 7 = 42
To find the GCF, select the common factors.
2 x 3 = 6, the GCF
To find the LCM, select the highest amount of each factor.
2 x 3 x 5 x 7 = 210, the LCM
If you were using the ladder method, the 2 and the 3 would be on the left side and the 5 and the 7 would be on the bottom.
The GCF of 10 and 15 is 5.
The GCF is 1.
22 11,2 There are no elevens in 60, so the GCF has to be 2.
For the division of quantities
The greatest common factor (GCF) refers to a factor that is COMMON to two or more numbers. You have only one number in the question! The greatest factor of any number is itself. So you do not need to use the division ladder or any other method!
The GCF of 10 and 15 is 5.
The GCF is 1.
The GCF is 3.
No matter what you use, you still need at least two numbers to find a GCF.
The GCF of 27 and 30 is 3.
2 |10,18 , |_________ 5,9 The GCF is 2.
when you need to get it down to a prime number
you have to use a factor tree
22 11,2 There are no elevens in 60, so the GCF has to be 2.
155,3105,2The GCF is 5.The GCF of 10 and 15 is 5.
For the division of quantities
The LCM of 6, 7 and 14 is 42. The easiest way to find this is through prime factorization. One way to notate the process of finding a prime factorization is through the use of division ladders, which are hard to draw on this website. Once you find the prime factorizations of 6 (2 x 3), 7 (7), and 14 (2 x 7), you combine the factors, eliminating duplicates. 2 x 3 = 6 7 2 x 7 = 14 2 x 3 x 7 = 42, the LCM