Well, isn't that a happy little math problem! To find the least common multiple of 24, 72, and 96, we first need to find the prime factors of each number. Then, we can take the highest power of each prime factor present in any of the numbers to calculate the least common multiple. It's like mixing different colors on your palette to create a beautiful painting - just a little bit of patience and gentle math strokes will help you find the answer!
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The least common multiple is the smallest number that is multiple of two or more numbers. 36: 36, 72 72: 72, 144 The LCM of 36 and 72 is 72.
The first step is to find the least common multiple of 24 and 36. The least common multiple of two numbers is to multiply them together and divide by their greatest common factor. The greatest common factor of 24 and 36 is 12, so the least common multiple is 24 x 36 ÷ 12 = 72.Next, to find common multiples 24 and 36, list the multiples of the least common multiple.72 x 1 = 7272 x 2 = 14472 x 3 = 21672 x 4 = 28872 x 5 = 360
LCM or least common multiple of 24 and 18 is 72 so any multiple of 72 is a common multiple To list them all we can write {m| m=72n for some natural number n) which means the set of all m such that m is a natural number multiple of 72 Or you can just say all common multiples of 24 and 18 are 72k where k = 1,2,3....
The LCM is: 1,800
Any multiple of 24 (24,48,72,etc) is a common multiple of 4 because 4 goes into 24 evenly (4x6=24)