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Understanding Lcm For 15 And 25

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LCM of 15 and 25 How to Find LCM of 15, 25?
LCM of 15 and 25 How to Find LCM of 15, 25? from www.cuemath.com

What is LCM?

LCM stands for Least Common Multiple. It is the smallest positive integer that is divisible by both the numbers. In simple words, it is the lowest common multiple of two or more given numbers.

How to Find LCM?

There are different methods to find LCM, but the most common methods are prime factorization and listing multiples. Let us understand both the methods with an example of finding LCM for 15 and 25.

Prime Factorization Method

In this method, we find the prime factors of both the numbers and then multiply the highest power of each prime factor. Let us find the prime factors of 15 and 25.
  • 15 = 3 x 5
  • 25 = 5 x 5
Now, we take the highest power of each prime factor and multiply them.
  • Highest power of 3 = 1
  • Highest power of 5 = 2
LCM = 3 x 5 x 5 = 75 Therefore, LCM of 15 and 25 is 75.

Listing Multiples Method

In this method, we list the multiples of both the numbers until we find the common multiple. Let us find the multiples of 15 and 25.
  • Multiples of 15: 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375, 390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600
  • Multiples of 25: 25, 50, 75, 100, 125, 150, 175, 200, 225, 250, 275, 300, 325, 350, 375, 400, 425, 450, 475, 500, 525, 550, 575, 600
The common multiple is 75. Therefore, LCM of 15 and 25 is 75.

Why LCM is Important?

LCM is important in mathematics as it is used in various operations such as addition, subtraction, multiplication, and division of fractions. It is also used in solving problems related to time, distance, speed, and many more.

Conclusion

In conclusion, finding LCM for 15 and 25 is important in mathematics as it is used in various operations and problem-solving. There are different methods to find LCM, but the most common methods are prime factorization and listing multiples. By using any of these methods, we can find the LCM of any given numbers.

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