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

3 <p>LCM is applied in everyday situations like setting alarms, synchronizing traffic lights and making music. In this article we will learn about the LCM of 40 and 60.</p>

4 <h2>What is the LCM of 40 and 60?</h2>

5 <p>The LCM of 40 and 60 is 120. </p>

6 <p>Let us learn how to find and apply it. </p>

7 <h2>How to find the LCM of 40 and 60?</h2>

8 <p>We can find the LCM of 40 and 60 using, </p>

9 <ul><li>Listing<a>multiples</a>method </li>

10 </ul><ul><li>Prime factorization method </li>

11 </ul><ul><li>Division method </li>

12 </ul><h3>LCM of 40 and 60 using the Listing multiples method</h3>

13 <p>In this method, we just list down the multiples of the<a>numbers</a>till we land at the first<a>common multiple</a>which is the smallest multiple or the LCM of the numbers.</p>

14 <p>In the case of 40 and 60,</p>

15 <p>40 = 40,80,120,...</p>

16 <p>60= 60,120,...</p>

17 <p>LCM(40,60) = 120 </p>

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20 <h3>LCM of 40 and 60 using the prime factorization method</h3>

19 <h3>LCM of 40 and 60 using the prime factorization method</h3>

21 <p>The numbers are factorized and their highest<a>powers</a>are multiplied to find the LCM </p>

20 <p>The numbers are factorized and their highest<a>powers</a>are multiplied to find the LCM </p>

22 <p>Prime factorization of - </p>

21 <p>Prime factorization of - </p>

23 <p>40 = 2×2×2×5 </p>

22 <p>40 = 2×2×2×5 </p>

24 <p>60 = 2×3×2×5</p>

23 <p>60 = 2×3×2×5</p>

25 <p>LCM(40,60) = 120 </p>

24 <p>LCM(40,60) = 120 </p>

26 <h3>LCM of 40 and 60 using the division method</h3>

25 <h3>LCM of 40 and 60 using the division method</h3>

27 <p>Follow these steps to find LCM using this method; </p>

26 <p>Follow these steps to find LCM using this method; </p>

28 <p>1.Write the numbers in a row </p>

27 <p>1.Write the numbers in a row </p>

29 <p>2.Proceed with dividing the numbers with a<a>factor</a>that can be divisible by at least one of the numbers </p>

28 <p>2.Proceed with dividing the numbers with a<a>factor</a>that can be divisible by at least one of the numbers </p>

30 <p>3.Carry forward the numbers that haven’t been divided earlier </p>

29 <p>3.Carry forward the numbers that haven’t been divided earlier </p>

31 <p>4.Continue<a>division</a>till the<a>remainder</a>is 1</p>

30 <p>4.Continue<a>division</a>till the<a>remainder</a>is 1</p>

32 <p>5.Multiply the divisors in the first column to find the LCM</p>

31 <p>5.Multiply the divisors in the first column to find the LCM</p>

33 <p>LCM(40,60) = 120 </p>

32 <p>LCM(40,60) = 120 </p>

34 <h2>Common mistakes and how to avoid them in LCM of 40 and 60</h2>

33 <h2>Common mistakes and how to avoid them in LCM of 40 and 60</h2>

35 <p>Here are a few common mistakes one is likely to make while trying to find the LCM. </p>

34 <p>Here are a few common mistakes one is likely to make while trying to find the LCM. </p>

36 <h3>Problem 1</h3>

35 <h3>Problem 1</h3>

37 <p>In a machine two gears are working together. One of them completes a revolution in 40 seconds and the other does it in 60 seconds. When will they both be back at the starting position and how many revolutions will the gears complete in that time?</p>

36 <p>In a machine two gears are working together. One of them completes a revolution in 40 seconds and the other does it in 60 seconds. When will they both be back at the starting position and how many revolutions will the gears complete in that time?</p>

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

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

39 <p>Prime factorization of - </p>

38 <p>Prime factorization of - </p>

40 <p>40 = 2×2×2×5 </p>

39 <p>40 = 2×2×2×5 </p>

41 <p>60 = 2×3×2×5</p>

40 <p>60 = 2×3×2×5</p>

42 <p>LCM(40,60) = 120 </p>

41 <p>LCM(40,60) = 120 </p>

43 <p>LCM of 40 and 60 = 120 </p>

42 <p>LCM of 40 and 60 = 120 </p>

44 <p>Number of revolutions = Machine 1 → 40/120 = 3 revolutions </p>

43 <p>Number of revolutions = Machine 1 → 40/120 = 3 revolutions </p>

45 <p>Machine 2→ 60/120 = 2 revolutions</p>

44 <p>Machine 2→ 60/120 = 2 revolutions</p>

46 <h3>Explanation</h3>

45 <h3>Explanation</h3>

47 <p>We find when the gears will be back by finding the LCM and the number of revolutions by just dividing the LCM by the time taken for a single revolution. </p>

46 <p>We find when the gears will be back by finding the LCM and the number of revolutions by just dividing the LCM by the time taken for a single revolution. </p>

48 <p>Well explained 👍</p>

47 <p>Well explained 👍</p>

49 <h3>Problem 2</h3>

48 <h3>Problem 2</h3>

50 <p>The red light blinks every 40 seconds and the green light blinks every 60 seconds. If at time t=0 they blinked together, after what percentage of one minute will they blink together?</p>

49 <p>The red light blinks every 40 seconds and the green light blinks every 60 seconds. If at time t=0 they blinked together, after what percentage of one minute will they blink together?</p>

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

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

52 <p>We find the LCM of 40 and 60 to find the time interval in seconds;</p>

51 <p>We find the LCM of 40 and 60 to find the time interval in seconds;</p>

53 <p>Prime factorization of - </p>

52 <p>Prime factorization of - </p>

54 <p>40 = 2×2×2×5 </p>

53 <p>40 = 2×2×2×5 </p>

55 <p>60 = 2×3×2×5</p>

54 <p>60 = 2×3×2×5</p>

56 <p>LCM(40,60) = 120 </p>

55 <p>LCM(40,60) = 120 </p>

57 <p>We now convert the seconds to minutes </p>

56 <p>We now convert the seconds to minutes </p>

58 <p>60 seconds = 1 minute </p>

57 <p>60 seconds = 1 minute </p>

59 <p>120 seconds = 2 minutes </p>

58 <p>120 seconds = 2 minutes </p>

60 <p>Percentage of one minute = 60 seconds / 120 seconds × 100 = 50% </p>

59 <p>Percentage of one minute = 60 seconds / 120 seconds × 100 = 50% </p>

61 <p>The red and green lights will blink at 50% of the second minute. </p>

60 <p>The red and green lights will blink at 50% of the second minute. </p>

62 <h3>Explanation</h3>

61 <h3>Explanation</h3>

63 <p>We find the LCM and convert the result into a percentage of a minute to find how often the blinking of the lights will coincide. </p>

62 <p>We find the LCM and convert the result into a percentage of a minute to find how often the blinking of the lights will coincide. </p>

64 <p>Well explained 👍</p>

63 <p>Well explained 👍</p>

65 <h3>Problem 3</h3>

64 <h3>Problem 3</h3>

66 <p>HCF(40,60) = 20. Verify the relationship between LCM, HCF, and the product of the numbers.</p>

65 <p>HCF(40,60) = 20. Verify the relationship between LCM, HCF, and the product of the numbers.</p>

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

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

68 <p>To verify the relationship we use;</p>

67 <p>To verify the relationship we use;</p>

69 <p>LCM= 120, HCF=20</p>

68 <p>LCM= 120, HCF=20</p>

70 <p>HCF(a,b)×LCM(a,b)=a×b</p>

69 <p>HCF(a,b)×LCM(a,b)=a×b</p>

71 <p>20×120=40×60 </p>

70 <p>20×120=40×60 </p>

72 <p>2400 = 2400 </p>

71 <p>2400 = 2400 </p>

73 <h3>Explanation</h3>

72 <h3>Explanation</h3>

74 <p>The LHS = RHS, the relationship stands true. </p>

73 <p>The LHS = RHS, the relationship stands true. </p>

75 <p>Well explained 👍</p>

74 <p>Well explained 👍</p>

76 <h2>FAQs on the LCM of 40 and 60</h2>

75 <h2>FAQs on the LCM of 40 and 60</h2>

77 <h3>1.What is the HCF of 40 and 60?</h3>

76 <h3>1.What is the HCF of 40 and 60?</h3>

78 <p>Factors of the numbers; </p>

77 <p>Factors of the numbers; </p>

79 <p>40-1,2,4,5,8,10,20,40 </p>

78 <p>40-1,2,4,5,8,10,20,40 </p>

80 <p>60-1,2,3,4,5,6,10,12,15,20,30,60 </p>

79 <p>60-1,2,3,4,5,6,10,12,15,20,30,60 </p>

81 <p>HCF = 20 </p>

80 <p>HCF = 20 </p>

82 <h3>2.Find the LCM of 40,45 and 60.</h3>

81 <h3>2.Find the LCM of 40,45 and 60.</h3>

83 <p>40 = 2×2×2×5 </p>

82 <p>40 = 2×2×2×5 </p>

84 <p>45 = 3×3×5 </p>

83 <p>45 = 3×3×5 </p>

85 <p>60 = 2×3×2×5</p>

84 <p>60 = 2×3×2×5</p>

86 <p>LCM (40,45,60) = 360 </p>

85 <p>LCM (40,45,60) = 360 </p>

87 <h3>3.Find the LCM of 48 and 60.</h3>

86 <h3>3.Find the LCM of 48 and 60.</h3>

88 <p>48 = 2×2×2×2×3 </p>

87 <p>48 = 2×2×2×2×3 </p>

89 <p>60 = 2×3×2×5</p>

88 <p>60 = 2×3×2×5</p>

90 <p>LCM(48,60) = 240 </p>

89 <p>LCM(48,60) = 240 </p>

91 <h3>4.What is the LCM of 17 and 18?</h3>

90 <h3>4.What is the LCM of 17 and 18?</h3>

92 <h3>5.What is the LCM of 42 and 63?</h3>

91 <h3>5.What is the LCM of 42 and 63?</h3>

93 <p>63 = 3×3×7</p>

92 <p>63 = 3×3×7</p>

94 <p>42 = 3×2×7</p>

93 <p>42 = 3×2×7</p>

95 <p>LCM(42,63) = 126 </p>

94 <p>LCM(42,63) = 126 </p>

96 <h2>Important glossaries for the LCM of 40 and 60</h2>

95 <h2>Important glossaries for the LCM of 40 and 60</h2>

97 <ul><li><strong>Multiple</strong> : product of a number and a natural integer </li>

96 <ul><li><strong>Multiple</strong> : product of a number and a natural integer </li>

98 </ul><ul><li><strong>Prime factor</strong> : number one gets after prime factorizing any given number </li>

97 </ul><ul><li><strong>Prime factor</strong> : number one gets after prime factorizing any given number </li>

99 </ul><ul><li><strong>Prime factorization</strong> : the process of breaking the number into its prime factors. </li>

98 </ul><ul><li><strong>Prime factorization</strong> : the process of breaking the number into its prime factors. </li>

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

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

101 <p>▶</p>

100 <p>▶</p>

102 <h2>Hiralee Lalitkumar Makwana</h2>

101 <h2>Hiralee Lalitkumar Makwana</h2>

103 <h3>About the Author</h3>

102 <h3>About the Author</h3>

104 <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>

103 <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>

105 <h3>Fun Fact</h3>

104 <h3>Fun Fact</h3>

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

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