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1 - <p>323 Learners</p>

1 + <p>358 Learners</p>

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

3 <p>LCM is a common multiple, the smallest value between the numbers 6 and 14. Did you know? We apply LCM unknowingly in everyday situations like setting alarms and to synchronize traffic lights and when making music.</p>

4 <h2>What is the LCM of 6 and 14?</h2>

5 <h3>LCM of 6 and 14 Using Listing the Multiples</h3>

6 <p><strong>Step 1:</strong>Write down the multiples of the<a>numbers</a>. Don’t stop too early.</p>

7 <p>Multiples of 6 = 6,12,18,24,30,36,42,…</p>

8 <p>Multiples of 14= 14,28,42,56,…</p>

9 <p><strong> Step 2:</strong>Find the smallest number common between the written multiples of 6 and 14</p>

10 <p>The smallest<a>common multiple</a>is 42.</p>

11 <p>Thus, LCM(6,14) = 42</p>

12 <h3>LCM of 6 and 14 Using Prime Factorization</h3>

13 <p><strong>Step 1: </strong>factorize the numbers into its prime<a>factors</a> </p>

14 <p>6= 2×3</p>

15 <p>14 = 7×2</p>

16 <p><strong>Step 2: </strong>find the highest<a>powers</a>of the factors of 6 and 14</p>

17 <p><strong>Step 3: </strong>Multiply the highest powers </p>

18 <p>LCM(6,14) = 42</p>

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21 <h3>LCM of 6 and 14 Using Division Method</h3>

20 <h3>LCM of 6 and 14 Using Division Method</h3>

22 <ul><li>Write the numbers 6,14 in a row </li>

21 <ul><li>Write the numbers 6,14 in a row </li>

23 </ul><ul><li>Divide them by their common prime factors, if there is one</li>

22 </ul><ul><li>Divide them by their common prime factors, if there is one</li>

24 </ul><ul><li>Carry forward the numbers that are left undivided by the previously chosen factor</li>

23 </ul><ul><li>Carry forward the numbers that are left undivided by the previously chosen factor</li>

25 </ul><ul><li>Continue dividing until the<a>remainder</a>is ‘1’ </li>

24 </ul><ul><li>Continue dividing until the<a>remainder</a>is ‘1’ </li>

26 </ul><ul><li>Multiply the divisors to find the LCM</li>

25 </ul><ul><li>Multiply the divisors to find the LCM</li>

27 </ul><ul><li>LCM(6,14) = 42 </li>

26 </ul><ul><li>LCM(6,14) = 42 </li>

28 </ul><h2>Common Mistakes and how to avoid them while finding the LCM of 6 and 14</h2>

27 </ul><h2>Common Mistakes and how to avoid them while finding the LCM of 6 and 14</h2>

29 <p>Listed below are a few commonly made mistakes while attempting to ascertain the LCM of 6 and 14, make a note while practicing. </p>

28 <p>Listed below are a few commonly made mistakes while attempting to ascertain the LCM of 6 and 14, make a note while practicing. </p>

30 <h3>Problem 1</h3>

29 <h3>Problem 1</h3>

31 <p>If you have 1/6 and 1/14 of a cake, what fraction of the cake do you have when combined, and how does it relate to the LCM?</p>

30 <p>If you have 1/6 and 1/14 of a cake, what fraction of the cake do you have when combined, and how does it relate to the LCM?</p>

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

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

33 <p>Find a common denominator using LCM:</p>

32 <p>Find a common denominator using LCM:</p>

34 <p>LCM of 6 and 14 = 42.</p>

33 <p>LCM of 6 and 14 = 42.</p>

35 <p>Convert fractions:</p>

34 <p>Convert fractions:</p>

36 <p>1/6=7/42 and 1/14=3/42</p>

35 <p>1/6=7/42 and 1/14=3/42</p>

37 <p>Combined:</p>

36 <p>Combined:</p>

38 <p>7/42+3/42=10/42=5/21 </p>

37 <p>7/42+3/42=10/42=5/21 </p>

39 <h3>Explanation</h3>

38 <h3>Explanation</h3>

40 <p>This shows the fraction of the cake you have and relates to LCM as it’s based on the common denominator derived from the LCM. </p>

39 <p>This shows the fraction of the cake you have and relates to LCM as it’s based on the common denominator derived from the LCM. </p>

41 <p>Well explained 👍</p>

40 <p>Well explained 👍</p>

42 <h3>Problem 2</h3>

41 <h3>Problem 2</h3>

43 <p>Machine X stops for maintenance every 14 hours, while machine Y stops every 6 hours. In how long will the machines stop again?</p>

42 <p>Machine X stops for maintenance every 14 hours, while machine Y stops every 6 hours. In how long will the machines stop again?</p>

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

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

45 <p>LCM(6,14) = 42 </p>

44 <p>LCM(6,14) = 42 </p>

46 <h3>Explanation</h3>

45 <h3>Explanation</h3>

47 <p>The machines will stop together in 42 hours. 42 is the LCM of the digits 6 and 14, which in the given case expresses the smallest time interval between the numbers.</p>

46 <p>The machines will stop together in 42 hours. 42 is the LCM of the digits 6 and 14, which in the given case expresses the smallest time interval between the numbers.</p>

48 <p>Well explained 👍</p>

47 <p>Well explained 👍</p>

49 <h3>Problem 3</h3>

48 <h3>Problem 3</h3>

50 <p>Compare the LCM of 6 and 14 to the LCM of 4 and 10. Which one is larger?</p>

49 <p>Compare the LCM of 6 and 14 to the LCM of 4 and 10. Which one is larger?</p>

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

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

52 <p>LCM of 6 and 14 = 42 (calculated earlier).</p>

51 <p>LCM of 6 and 14 = 42 (calculated earlier).</p>

53 <p>LCM of 4 and 10:</p>

52 <p>LCM of 4 and 10:</p>

54 <p>Prime factorization:</p>

53 <p>Prime factorization:</p>

55 <p>4=22</p>

54 <p>4=22</p>

56 <p>10=21×51</p>

55 <p>10=21×51</p>

57 <p>LCM=22×51=20 </p>

56 <p>LCM=22×51=20 </p>

58 <h3>Explanation</h3>

57 <h3>Explanation</h3>

59 <p>42>20. So, the LCM of 6 and 14 is larger. </p>

58 <p>42>20. So, the LCM of 6 and 14 is larger. </p>

60 <p>Well explained 👍</p>

59 <p>Well explained 👍</p>

61 <h2>FAQ’s on LCM of 6 and 14</h2>

60 <h2>FAQ’s on LCM of 6 and 14</h2>

62 <h3>1.List the multiples of 6 and 14.</h3>

61 <h3>1.List the multiples of 6 and 14.</h3>

63 <p>Multiples of 6 = 6,12,18,24,30,36,42,48,60…</p>

62 <p>Multiples of 6 = 6,12,18,24,30,36,42,48,60…</p>

64 <p>Multiples of 14= 14,28,42,56,70,84,98,112,126,140,… </p>

63 <p>Multiples of 14= 14,28,42,56,70,84,98,112,126,140,… </p>

65 <h3>2.What is the HCF of 6 and 14?</h3>

64 <h3>2.What is the HCF of 6 and 14?</h3>

66 <p>HCF of 6 and 14 can be found by listing the factors of the numbers → finding the<a>largest common factor</a>from the list of numbers. </p>

65 <p>HCF of 6 and 14 can be found by listing the factors of the numbers → finding the<a>largest common factor</a>from the list of numbers. </p>

67 <p>Factors of 6 = 1,2,3,6 </p>

66 <p>Factors of 6 = 1,2,3,6 </p>

68 <p>Factors of 14 = 1,2,7,14</p>

67 <p>Factors of 14 = 1,2,7,14</p>

69 <p>HCF (6,14) = 2 </p>

68 <p>HCF (6,14) = 2 </p>

70 <h3>3.What is the LCM of 6,14 and 16?</h3>

69 <h3>3.What is the LCM of 6,14 and 16?</h3>

71 <p>LCM (6,14,16) = 336 </p>

70 <p>LCM (6,14,16) = 336 </p>

72 <p>336 is the smallest number that appears commonly on the lists of the numbers 6,14 and 16. </p>

71 <p>336 is the smallest number that appears commonly on the lists of the numbers 6,14 and 16. </p>

73 <h3>4.What is the LCM of 5 and 14?</h3>

72 <h3>4.What is the LCM of 5 and 14?</h3>

74 <p>60 is the smallest number that appears commonly on the lists of the numbers 5 and 14. </p>

73 <p>60 is the smallest number that appears commonly on the lists of the numbers 5 and 14. </p>

75 <p>LCM (5,14) = 60 </p>

74 <p>LCM (5,14) = 60 </p>

76 <h3>5.What is the LCM of 6,14 and 18?</h3>

75 <h3>5.What is the LCM of 6,14 and 18?</h3>

77 <p>LCM (6,14,18) = 126 </p>

76 <p>LCM (6,14,18) = 126 </p>

78 <p>126 is the smallest number that appears commonly on the lists of the numbers 6,14 and 18. </p>

77 <p>126 is the smallest number that appears commonly on the lists of the numbers 6,14 and 18. </p>

79 <h2>Important glossaries for LCM of 6 and 14</h2>

78 <h2>Important glossaries for LCM of 6 and 14</h2>

80 <ul><li><strong>Multiple:</strong>A number and any integer multiplied. </li>

79 <ul><li><strong>Multiple:</strong>A number and any integer multiplied. </li>

81 </ul><ul><li><strong>Prime Factor:</strong>A natural number (other than 1) that has factors that are one and itself.</li>

80 </ul><ul><li><strong>Prime Factor:</strong>A natural number (other than 1) that has factors that are one and itself.</li>

82 </ul><ul><li><strong>Prime Factorization:</strong>The process of breaking down a number into its prime factors is called Prime Factorization. </li>

81 </ul><ul><li><strong>Prime Factorization:</strong>The process of breaking down a number into its prime factors is called Prime Factorization. </li>

83 </ul><ul><li><strong>Co-prime numbers:</strong>When the only positive integer that is a divisor of them both is 1, a number is co-prime. </li>

82 </ul><ul><li><strong>Co-prime numbers:</strong>When the only positive integer that is a divisor of them both is 1, a number is co-prime. </li>

84 </ul><ul><li><strong>Relatively Prime Numbers:</strong> Numbers that have no common factors other than 1.</li>

83 </ul><ul><li><strong>Relatively Prime Numbers:</strong> Numbers that have no common factors other than 1.</li>

85 </ul><ul><li><strong>Fraction:</strong>A representation of a part of a whole. </li>

84 </ul><ul><li><strong>Fraction:</strong>A representation of a part of a whole. </li>

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

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

87 <p>▶</p>

86 <p>▶</p>

88 <h2>Hiralee Lalitkumar Makwana</h2>

87 <h2>Hiralee Lalitkumar Makwana</h2>

89 <h3>About the Author</h3>

88 <h3>About the Author</h3>

90 <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>

89 <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>

91 <h3>Fun Fact</h3>

90 <h3>Fun Fact</h3>

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

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