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Last updated on May 26th, 2025

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LCM of 10 and 15

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The Least common multiple (LCM) is the smallest number that is divisible by the numbers 10 and 15. The LCM can be found using the listing multiples method, the prime factorization and/or division methods. LCM helps to solve problems with fractions and scenarios like scheduling or aligning repeating cycle of events.

LCM of 10 and 15 for US Students
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What is the LCM of 10 and 15?

There are various methods to find the LCM, Listing method, prime factorization method and division method are explained below;

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LCM of 10 and 15 using the Listing Multiples Method

The LCM of 10 and 15 can be found ascertained using the following steps

Steps:

  1. Write down the multiples of each number
    • Multiples of 10 = 10, 20, 30, 40,60 …
    • Multiples of 15 = 15,30,45,60,75,…
  2.  Ascertain the smallest multiple from the listed multiples
    • The smallest common multiple is 30. Thus, LCM(10,15) = 30.
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LCM of 10 and 15 using the Prime Factorization Method

The prime factors of each number are written, and then the highest power of the prime factors is multiplied to get the LCM.

Steps:

  1. Find the prime factors of each number: 
    • Prime factorization of 10 =2×5
    • Prime factorization of 15 =5×3
  2. Take the highest powers of each prime factor and multiply the highest powers to get the LCM:
    • LCM(10,15) = 2×3×5= 30
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LCM of 10 and 15 using the Division Method

This method involves dividing both numbers by their common prime factors until no further division is possible, and then multiplying the divisors to find the LCM.

Steps:

  1. Write the numbers:

  1. Divide by common prime factors

Multiply the divisors: So, LCM(10,15) = 30

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Common Mistakes and how to avoid them while finding the LCM of 10 and 15

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LCM of 10 and 15 Examples

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Problem 1

Buses A and B run every 10 days and 15 days respectively. In how many days will they run together again?

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Explanation

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Max, the Girl Character from BrightChamps

Problem 2

A company has meetings every 10 days and 15 days. If both the conference rooms are booked today, when will they next be booked together ?

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Explanation

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Max, the Girl Character from BrightChamps

Problem 3

Warehouse XYZ restocks sugar every 10 days and pulses every 15 days. If both the goods are restocked today, when will they next be restocked?

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Explanation

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Max, the Girl Character from BrightChamps

Problem 4

The sprinkler watering system waters every 10 days and the drip watering system waters every 15 days. On which day do they have to be turned on together?

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Explanation

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FAQs on LCM of 10 and 15

1.Why is the LCM of 10 and 15 not simply their product (10 × 15 = 150) ?

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2.What is the LCM formula using the HCF ?

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3.What is the LCM of 10,15 and 30?

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4.What is the LCM of 10,15,25?

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5.What is the LCM of 5,10,15,20?

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6.How can children in United States use numbers in everyday life to understand LCM of 10 and 15?

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7.What are some fun ways kids in United States can practice LCM of 10 and 15 with numbers?

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8.What role do numbers and LCM of 10 and 15 play in helping children in United States develop problem-solving skills?

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9.How can families in United States create number-rich environments to improve LCM of 10 and 15 skills?

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Important glossaries on the LCM of 10 and 15

  • Multiple: A number multiplied with an integer. 
  • Prime Factor: A natural number (other than 1) whose factors that are one and itself.
  • Prime Factorization: Breaking down a number into its prime factors is called Prime Factorization. 
  • Relatively Prime Numbers: Numbers that have no common factors other than 1.
  • Fraction: A representation of a part of a whole.
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About BrightChamps in United States

At BrightChamps, we believe numbers are more than just figures—they unlock a world full of possibilities! Our goal is to help children throughout the United States master key math skills, focusing today on the LCM of 10 and 15 with special attention to understanding the LCM—in a way that’s engaging, fun, and easy to grasp. Whether your child is calculating the speed of a roller coaster at Disney World, keeping score during a Little League baseball game, or managing their allowance to save for cool gadgets, knowing numbers builds confidence for everyday life. Our hands-on lessons make learning enjoyable and straightforward. Since kids in the USA have unique learning styles, we customize our methods to match each child’s needs. From the lively streets of New York City to the sunny beaches of California, BrightChamps brings math alive, making it meaningful and exciting all across America. Let’s make the LCM an exciting part of every child’s math adventure!
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Hiralee Lalitkumar Makwana

About the Author

Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.

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Max, the Girl Character from BrightChamps

Fun Fact

: She loves to read number jokes and games.

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