Have you ever wondered what the least common multiple (LCM) of 3, 4, and 5 is? LCM is the smallest multiple that is divisible by each of the numbers. Let’s dive in and find out more about the LCM of 3, 4, and 5.
When finding the LCM of 3, 4, and 5, we look for the smallest number that is divisible by all three numbers. To do this, we can start by listing the multiples of each number: 3 (3, 6, 9, 12…), 4 (4, 8, 12, 16…), and 5 (5, 10, 15, 20…).
lcm of 3 4 5
Calculating the LCM of 3, 4, and 5
Next, we can identify the common multiples of 3, 4, and 5. In this case, the smallest number that is divisible by all three numbers is 60. Therefore, the LCM of 3, 4, and 5 is 60.
One way to calculate the LCM of multiple numbers is by finding the prime factors of each number and then multiplying the highest power of each prime factor together. This method can be useful when dealing with larger numbers or more than three numbers.
Understanding the concept of LCM is essential in various mathematical operations, such as adding and subtracting fractions, simplifying ratios, and solving word problems. It helps us find the smallest common denominator when working with fractions and simplifies calculations.
In conclusion, the LCM of 3, 4, and 5 is 60, the smallest number divisible by all three numbers. Knowing how to calculate the LCM can be beneficial in various mathematical contexts and is a fundamental concept in number theory.
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