Understanding Lcm For 4 And 10

LCM of 4 and 10 How to Find LCM of 4, 10? from www.cuemath.com

Introduction

LCM or Least Common Multiple is one of the fundamental concepts in mathematics. It refers to the smallest positive integer that is a multiple of two or more numbers. In this article, we will focus on finding the LCM of 4 and 10. We will discuss the concept of LCM, the prime factorization method, and the step-by-step process to find LCM.

Concept of LCM

LCM is used to solve many real-life problems, including time, distance, and money. For example, if two buses start from the same point at the same time, but one bus travels at a speed of 40 km/h, and the other bus travels at a speed of 60 km/h, we can use LCM to find the time when the two buses meet. In this case, LCM would be 120 km/h.

Prime Factorization Method

The prime factorization method is the most common method to find LCM. In this method, we first find the prime factors of each number and then multiply the highest power of each prime factor. For example, the prime factors of 4 are 2 and 2, and the prime factors of 10 are 2 and 5. Therefore, the LCM of 4 and 10 would be 2 x 2 x 5 = 20.

Step-by-Step Process to Find LCM

Step 1: Write down the two numbers whose LCM you want to find. Step 2: Find the prime factors of each number. Step 3: Write down the prime factors of each number in the form of a product. Step 4: Write down the common factors and the highest power of each common factor. Step 5: Multiply the common factors with the highest power. Step 6: The result is the LCM of the two numbers.

Conclusion

In conclusion, LCM is an important concept in mathematics that is used to solve many real-life problems. The prime factorization method is the most common method to find LCM. We can use the step-by-step process to find LCM for any two numbers. In the case of 4 and 10, the LCM is 20.