12, 24, 36, 49, 60, 72, 84
28, 56, 84
At least two or more numbers are needed to find their LCM
Find the greatest common divisor(Using the Euclidean Algorythm)24 = 9*2 + 69 = 6*1 + 36 = 3*2gcd (24,9) = 3least common multiple = (a*b)/gcd(a,b)LCM = 216/3 = 72
The least common multipleof 7 and 9 is 63.
LCM = 72 prime factorization of: 24 = 2 x 2 x 2 x 3 9--= ------------ 3 x 3 ============== LCM=2 x 2 x 2 x 3 x 3 = 72
3 and 35
You won't find common factors by using lists of multiples. The least common factor of any set of integers is 1, no matter what you use.
At least two or more numbers are needed to find their LCM
There is not a least common multiple of a single number, such as 130, because there cannot be a least common multiple without two or more numbers to compare. Common multiples are multiples that the numbers being compared have in common. The least common multiple is the smallest multiple that all the numbers being compared have in common.
Common multiples and common denominators can be found using the same process. They differ in their function. Common denominators are common multiples that are functioning as denominators.
3,6,9,12,15,18,21,24,27,30,33,etc are multiples of 3 4,8,12,16,20,24,28,32,36,etc are multiples of 4 These lists have some numbers that are the same. 12, 24, 36 etc. These are all common multiples. 12 is the smallest of these common multiples. Smallest = Lowest (or least) 12 is the lowest common multiple of 3 and 4 Notice that both 3 and 4 divide evenly into all these common multiples. So one way of explaining this is to say that the lowest common multiple is the smallest number that both numbers will evenly divide into. Math books and many teachers will tell you that to find the LCM you must begin by doing a prime factorization of both numbers and then using all factors from each without repeating them. This can be confusing when there one number is a repeated factor in one or the other or both of the numbers you are given to find the LCM.
4, 8, 12, 16, 20, 24, 2814, 28
4, 8, 12, 16, 20, 24, 2814, 28
Get the least common denominator of 4 and 30, using any of the methods you learned. Then multiply this by different integers, to get additional common multiples. 4 = 2 x 2 30 = 2 x 3 x 5 common denominator = 2 x 2 x 3 x 5 = 60 common multiples could be 60, 120, 180, 240, ... etc
12=22x3 15=3x5 So the LCM of 2, 12 and 15 is 22x3x5 = 60
Find the greatest common divisor(Using the Euclidean Algorythm)24 = 9*2 + 69 = 6*1 + 36 = 3*2gcd (24,9) = 3least common multiple = (a*b)/gcd(a,b)LCM = 216/3 = 72
132
Multiply the numbers together. Double that result. Triple it.