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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 2 and 10</h2>

5 <p>The LCM<a>of</a>2 and 10 is the lowest<a>number</a>that divides both 2 and 10 without leaving any<a>remainder</a>. The LCM of 2 and 10 is 10. </p>

6 <h2>How to find the LCM of 2 and 10?</h2>

7 <h3>LCM of 2 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>2 divides 2, leaving 1</p>

10 <p>5 divides 10, leaving 1</p>

11 <p>LCM = 2 × 5= 10. </p>

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14 <h3>LCM of 2 and 10 using Listing multiples:</h3>

13 <h3>LCM of 2 and 10 using Listing multiples:</h3>

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

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

16 <p>Multiples of 2: 2, 4, 6, 8, 10, 12, …</p>

15 <p>Multiples of 2: 2, 4, 6, 8, 10, 12, …</p>

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

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

18 <p>The<a>common multiple</a>is 10. So, the LCM of 2 and 10 is 10. </p>

17 <p>The<a>common multiple</a>is 10. So, the LCM of 2 and 10 is 10. </p>

19 <h3>LCM of 2 and 10 using prime factorization:</h3>

18 <h3>LCM of 2 and 10 using prime factorization:</h3>

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

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

21 <p>2= 2</p>

20 <p>2= 2</p>

22 <p>10= 2 × 5</p>

21 <p>10= 2 × 5</p>

23 <p>LCM = 2 × 5= 10. </p>

22 <p>LCM = 2 × 5= 10. </p>

24 <h2>Common Mistakes and How to Avoid Them in LCM of 2 and 10</h2>

23 <h2>Common Mistakes and How to Avoid Them in LCM of 2 and 10</h2>

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>

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

26 <h3>Problem 1</h3>

25 <h3>Problem 1</h3>

27 <p>Find the LCM of 2 and 10.</p>

26 <p>Find the LCM of 2 and 10.</p>

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

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

29 <p>The LCM of 2 and 10 is 10. </p>

28 <p>The LCM of 2 and 10 is 10. </p>

30 <h3>Explanation</h3>

29 <h3>Explanation</h3>

31 <p>Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 10</p>

30 <p>Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 10</p>

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

31 <p>Multiples of 10: 10, 20, 10…</p>

33 <p>The common multiple is 10. So, the LCM of 2 and 10 is 10. </p>

32 <p>The common multiple is 10. So, the LCM of 2 and 10 is 10. </p>

34 <p>Well explained 👍</p>

33 <p>Well explained 👍</p>

35 <h3>Problem 2</h3>

34 <h3>Problem 2</h3>

36 <p>Solve the following expression using LCM of 2 and 10: 3/2 + 1/10</p>

35 <p>Solve the following expression using LCM of 2 and 10: 3/2 + 1/10</p>

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

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

38 <p>When we solve the equation by using the LCM of 2 and 10, the value we get is 8/5. </p>

37 <p>When we solve the equation by using the LCM of 2 and 10, the value we get is 8/5. </p>

39 <h3>Explanation</h3>

38 <h3>Explanation</h3>

40 <p> LCM(2,10)=10</p>

39 <p> LCM(2,10)=10</p>

41 <p>3/2 = 15/10 , 1/10=110</p>

40 <p>3/2 = 15/10 , 1/10=110</p>

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

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

43 <p>15/10 + 1/10 = 16/ 10=8 / 5 </p>

42 <p>15/10 + 1/10 = 16/ 10=8 / 5 </p>

44 <p>Well explained 👍</p>

43 <p>Well explained 👍</p>

45 <h3>Problem 3</h3>

44 <h3>Problem 3</h3>

46 <p>Simplify the expression: x/2 + x/10 = 12</p>

45 <p>Simplify the expression: x/2 + x/10 = 12</p>

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

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

48 <p> The value of x is 20. </p>

47 <p> The value of x is 20. </p>

49 <h3>Explanation</h3>

48 <h3>Explanation</h3>

50 <p> LCM (2,10) =10</p>

49 <p> LCM (2,10) =10</p>

51 <p>5x/10 + x/10 =12</p>

50 <p>5x/10 + x/10 =12</p>

52 <p>5x+x/10=12 </p>

51 <p>5x+x/10=12 </p>

53 <p>6x= 12 × 10</p>

52 <p>6x= 12 × 10</p>

54 <p>6x = 120</p>

53 <p>6x = 120</p>

55 <p>x=20 </p>

54 <p>x=20 </p>

56 <p>Well explained 👍</p>

55 <p>Well explained 👍</p>

57 <h2>FAQ’s on LCM of 2 and 10</h2>

56 <h2>FAQ’s on LCM of 2 and 10</h2>

58 <h3>1.Is the integer 1 neither prime nor composite?</h3>

57 <h3>1.Is the integer 1 neither prime nor composite?</h3>

59 <p> 1 is not a prime number, as it can be divided by any other<a>integer</a>except for 1 and alone. </p>

58 <p> 1 is not a prime number, as it can be divided by any other<a>integer</a>except for 1 and alone. </p>

60 <h3>2.Is 9996 divisible by 6?</h3>

59 <h3>2.Is 9996 divisible by 6?</h3>

61 <p>9996 is divisible by 2 as well as 3 and even by 6. Therefore, 9996 is the largest 4-digit number divisible by 6. We should add 2 to make it divisible by 3. </p>

60 <p>9996 is divisible by 2 as well as 3 and even by 6. Therefore, 9996 is the largest 4-digit number divisible by 6. We should add 2 to make it divisible by 3. </p>

62 <h3>3.What is 26 evenly divisible by?</h3>

61 <h3>3.What is 26 evenly divisible by?</h3>

63 <p> The number that divides a number evenly, then that number is divisible. 26 exactly divides 1,2,13 and 26. </p>

62 <p> The number that divides a number evenly, then that number is divisible. 26 exactly divides 1,2,13 and 26. </p>

64 <h3>4.Which is the largest three-digit number divisible by 6??</h3>

63 <h3>4.Which is the largest three-digit number divisible by 6??</h3>

65 <p> The largest three-digit number that is divisible by 6 is 996</p>

64 <p> The largest three-digit number that is divisible by 6 is 996</p>

66 <h2>Important glossaries for LCM of 2 and 10</h2>

65 <h2>Important glossaries for LCM of 2 and 10</h2>

67 <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>

66 <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>

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

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

69 </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>

68 </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>

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

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

71 <p>▶</p>

70 <p>▶</p>

72 <h2>Hiralee Lalitkumar Makwana</h2>

71 <h2>Hiralee Lalitkumar Makwana</h2>

73 <h3>About the Author</h3>

72 <h3>About the Author</h3>

74 <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>

73 <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>

75 <h3>Fun Fact</h3>

74 <h3>Fun Fact</h3>

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

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