LCM of 3 and 10
2026-02-28 00:54 Diff
https://brightchamps.com/en-us/math/numbers/lcm-of-3-and-10

329 Learners

Last updated on August 5, 2025

The smallest number that should also be a positive number, and evenly divide both the numbers, is known as the least common factor. LCM is very important for solving problems, especially fractions, scheduling events etc.

What is the LCM of 3 and 10

The LCM of 3 and 10 is the lowest number that divides both 3 and 10 without leaving any remainder. The LCM of 3 and 10 is 30.

How to find the LCM of 3 and 10?

LCM of 3 and 10 using Division method:

In the division method, we divide both the numbers by the lowest possible number until we get 1 for both numbers.

3 divides 3 leaving 1


2 divides 10 leaving 5


5 divides 5 leaving 1

LCM = 2 × 3  × 5= 30.
 

Explore Our Programs

LCM of 3 and 10 using Listing multiples:

We write the multiples of both numbers till we find the common one.


Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30…


Multiples of 10: 10, 20, 30…

The common multiple is 30. So, the LCM of 3 and 10 is 30.
 

LCM of 3 and 10 using prime factorization:

We part each number into divisors and select the highest powers of all the prime factors.

3=  3


10= 2 × 5

LCM = 2 × 3 × 5= 30.
 

Common Mistakes and How to Avoid Them in LCM of 3 and 10

While solving problems on LCM, children are likely to make common mistakes, here are a few mistakes and how to avoid them

Problem 1

Find the LCM of 3 and 10.

Okay, lets begin

Thus, the LCM of 3 and 10is 30.
 

Explanation

Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30…


Multiples of 10: 10, 20, 30…


The common multiple is 30. So, the LCM of 3 and 10 is 30.

Thus, the LCM of 3 and 10is 30.
 

Well explained 👍

Problem 2

Solve the following expression using LCM of 3 and 10: 1/3 + 1/10

Okay, lets begin

The sum of  1/3 and 1/10 is 13/30

Explanation

LCM(9,10)=90

1/3 = 10/30 , 1/10=3/30

Add the fractions:


10/30 + 3/30 = 13/30


The sum of  13 and 110 is 1330.
 

Well explained 👍

Problem 3

Simplify the expression: x/3 + x/10 = 13

Okay, lets begin

The LCM of 3 and 10 is 30 based on their prime factors 2,3, and 5.
 

Explanation

 LCM (3,10) =30

10x/30 + 3x/30 =13

10x+3x/30=13 


13x= 13 × 30


13x = 390


x=30.


The LCM of 3 and 10 is 30 based on their prime factors 2,3, and 5.
 

Well explained 👍

FAQ’s on LCM of 3 and 10

1.What is the GCF of 48,36,96?

 The GCF and HCF are the same, The GCF  of 48,36 and 96 is 12. When we find it by division method, it is 2×2×3=12.
 

2.Is 0 a perfect number?

3.What is the GCF of 10 and 3?

4.Is 720 a multiple of 360?

 360,720,1080,1440,1800,2160,2520,2880,3240 and 3600 are the first 10 multiples of 360.

5.What is the GCF of 12 and 18?

 The common factors of 12 and 18 are 1,2,3 and 6. The largest common number is 6. 
 

Important glossaries for LCM of 3 and 10

  • Co-prime: two numbers that have only one number that is 1 as their common factor.  For example, 8 and 15 are co-prime numbers.
  • Even Number: A natural number is divisible by 2. For example, 2,4,68,10 etc.
  • Prime Factorization: The process of parting down a number into its prime factors is called Prime Factorization.  For example, prime factorization of 24 = 2 × 2 × 2 × 3.
     

What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math

▶

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.

Fun Fact

: She loves to read number jokes and games.