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1 - <p>303 Learners</p>

1 + <p>329 Learners</p>

2 <p>Last updated on<strong>August 5, 2025</strong></p>

3 <p>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.</p>

4 <h2>What is the LCM of 3 and 10</h2>

5 <p>The LCM<a>of</a>3 and 10 is the lowest<a>number</a>that divides both 3 and 10 without leaving any<a>remainder</a>. The LCM of 3 and 10 is 30.</p>

6 <h3>How to find the LCM of 3 and 10?</h3>

7 <h3>LCM of 3 and 10 using Division method:</h3>

8 <p>In the division method, we divide both the numbers by the lowest possible number until we get 1 for both numbers.</p>

9 <p>3 divides 3 leaving 1</p>

10 <p>2 divides 10 leaving 5</p>

11 <p>5 divides 5 leaving 1</p>

12 <p>LCM = 2 × 3 × 5= 30. </p>

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15 <h3>LCM of 3 and 10 using Listing multiples:</h3>

14 <h3>LCM of 3 and 10 using Listing multiples:</h3>

16 <p>We write the multiples of both numbers till we find the common one.</p>

15 <p>We write the multiples of both numbers till we find the common one.</p>

17 <p>Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30…</p>

16 <p>Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30…</p>

18 <p>Multiples of 10: 10, 20, 30…</p>

17 <p>Multiples of 10: 10, 20, 30…</p>

19 <p>The<a>common multiple</a>is 30. So, the LCM of 3 and 10 is 30. </p>

18 <p>The<a>common multiple</a>is 30. So, the LCM of 3 and 10 is 30. </p>

20 <h3>LCM of 3 and 10 using prime factorization:</h3>

19 <h3>LCM of 3 and 10 using prime factorization:</h3>

21 <p>We part each number into divisors and select the highest<a>powers</a>of all the prime<a>factors</a>.</p>

20 <p>We part each number into divisors and select the highest<a>powers</a>of all the prime<a>factors</a>.</p>

22 <p>3= 3</p>

21 <p>3= 3</p>

23 <p>10= 2 × 5</p>

22 <p>10= 2 × 5</p>

24 <p>LCM = 2 × 3 × 5= 30. </p>

23 <p>LCM = 2 × 3 × 5= 30. </p>

25 <h2>Common Mistakes and How to Avoid Them in LCM of 3 and 10</h2>

24 <h2>Common Mistakes and How to Avoid Them in LCM of 3 and 10</h2>

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

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

27 <h3>Problem 1</h3>

26 <h3>Problem 1</h3>

28 <p>Find the LCM of 3 and 10.</p>

27 <p>Find the LCM of 3 and 10.</p>

29 <p>Okay, lets begin</p>

28 <p>Okay, lets begin</p>

30 <p>Thus, the LCM of 3 and 10is 30. </p>

29 <p>Thus, the LCM of 3 and 10is 30. </p>

31 <h3>Explanation</h3>

30 <h3>Explanation</h3>

32 <p>Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30…</p>

31 <p>Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30…</p>

33 <p>Multiples of 10: 10, 20, 30…</p>

32 <p>Multiples of 10: 10, 20, 30…</p>

34 <p>The common multiple is 30. So, the LCM of 3 and 10 is 30.</p>

33 <p>The common multiple is 30. So, the LCM of 3 and 10 is 30.</p>

35 <p>Thus, the LCM of 3 and 10is 30. </p>

34 <p>Thus, the LCM of 3 and 10is 30. </p>

36 <p>Well explained 👍</p>

35 <p>Well explained 👍</p>

37 <h3>Problem 2</h3>

36 <h3>Problem 2</h3>

38 <p>Solve the following expression using LCM of 3 and 10: 1/3 + 1/10</p>

37 <p>Solve the following expression using LCM of 3 and 10: 1/3 + 1/10</p>

39 <p>Okay, lets begin</p>

38 <p>Okay, lets begin</p>

40 <p>The sum of 1/3 and 1/10 is 13/30</p>

39 <p>The sum of 1/3 and 1/10 is 13/30</p>

41 <h3>Explanation</h3>

40 <h3>Explanation</h3>

42 <p>LCM(9,10)=90</p>

41 <p>LCM(9,10)=90</p>

43 <p>1/3 = 10/30 , 1/10=3/30</p>

42 <p>1/3 = 10/30 , 1/10=3/30</p>

44 <p>Add the fractions:</p>

43 <p>Add the fractions:</p>

45 <p>10/30 + 3/30 = 13/30</p>

44 <p>10/30 + 3/30 = 13/30</p>

46 <p>The sum of 13 and 110 is 1330. </p>

45 <p>The sum of 13 and 110 is 1330. </p>

47 <p>Well explained 👍</p>

46 <p>Well explained 👍</p>

48 <h3>Problem 3</h3>

47 <h3>Problem 3</h3>

49 <p>Simplify the expression: x/3 + x/10 = 13</p>

48 <p>Simplify the expression: x/3 + x/10 = 13</p>

50 <p>Okay, lets begin</p>

49 <p>Okay, lets begin</p>

51 <p>The LCM of 3 and 10 is 30 based on their prime factors 2,3, and 5. </p>

50 <p>The LCM of 3 and 10 is 30 based on their prime factors 2,3, and 5. </p>

52 <h3>Explanation</h3>

51 <h3>Explanation</h3>

53 <p> LCM (3,10) =30</p>

52 <p> LCM (3,10) =30</p>

54 <p>10x/30 + 3x/30 =13</p>

53 <p>10x/30 + 3x/30 =13</p>

55 <p>10x+3x/30=13 </p>

54 <p>10x+3x/30=13 </p>

56 <p>13x= 13 × 30</p>

55 <p>13x= 13 × 30</p>

57 <p>13x = 390</p>

56 <p>13x = 390</p>

58 <p>x=30.</p>

57 <p>x=30.</p>

59 <p>The LCM of 3 and 10 is 30 based on their prime factors 2,3, and 5. </p>

58 <p>The LCM of 3 and 10 is 30 based on their prime factors 2,3, and 5. </p>

60 <p>Well explained 👍</p>

59 <p>Well explained 👍</p>

61 <h2>FAQ’s on LCM of 3 and 10</h2>

60 <h2>FAQ’s on LCM of 3 and 10</h2>

62 <h3>1.What is the GCF of 48,36,96?</h3>

61 <h3>1.What is the GCF of 48,36,96?</h3>

63 <p> 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. </p>

62 <p> 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. </p>

64 <h3>2.Is 0 a perfect number?</h3>

63 <h3>2.Is 0 a perfect number?</h3>

65 <h3>3.What is the GCF of 10 and 3?</h3>

64 <h3>3.What is the GCF of 10 and 3?</h3>

66 <h3>4.Is 720 a multiple of 360?</h3>

65 <h3>4.Is 720 a multiple of 360?</h3>

67 <p> 360,720,1080,1440,1800,2160,2520,2880,3240 and 3600 are the first 10 multiples of 360.</p>

66 <p> 360,720,1080,1440,1800,2160,2520,2880,3240 and 3600 are the first 10 multiples of 360.</p>

68 <h3>5.What is the GCF of 12 and 18?</h3>

67 <h3>5.What is the GCF of 12 and 18?</h3>

69 <p> The<a>common factors</a>of 12 and 18 are 1,2,3 and 6. The largest common number is 6. </p>

68 <p> The<a>common factors</a>of 12 and 18 are 1,2,3 and 6. The largest common number is 6. </p>

70 <h2>Important glossaries for LCM of 3 and 10</h2>

69 <h2>Important glossaries for LCM of 3 and 10</h2>

71 <ul><li><strong>Co-prime:</strong>two numbers that have only one number that is 1 as their common factor. For example, 8 and 15 are co-prime numbers.</li>

70 <ul><li><strong>Co-prime:</strong>two numbers that have only one number that is 1 as their common factor. For example, 8 and 15 are co-prime numbers.</li>

72 </ul><ul><li><strong>Even Number:</strong>A natural number is divisible by 2. For example, 2,4,68,10 etc.</li>

71 </ul><ul><li><strong>Even Number:</strong>A natural number is divisible by 2. For example, 2,4,68,10 etc.</li>

73 </ul><ul><li><strong>Prime Factorization:</strong>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. </li>

72 </ul><ul><li><strong>Prime Factorization:</strong>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. </li>

74 </ul><p>What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math</p>

73 </ul><p>What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math</p>

75 <p>▶</p>

74 <p>▶</p>

76 <h2>Hiralee Lalitkumar Makwana</h2>

75 <h2>Hiralee Lalitkumar Makwana</h2>

77 <h3>About the Author</h3>

76 <h3>About the Author</h3>

78 <p>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.</p>

77 <p>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.</p>

79 <h3>Fun Fact</h3>

78 <h3>Fun Fact</h3>

80 <p>: She loves to read number jokes and games.</p>

79 <p>: She loves to read number jokes and games.</p>