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1 - <p>304 Learners</p>

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

3 <p>The lowest number that is divided by both 25 and 16 is the Least common multiple. In mathematics for most of the problems, solving the LCM is very important, mainly used in fractions and scheduling purposes/events.</p>

4 <h2>What is the LCM of 25 and 16?</h2>

5 <p>The LCM<a>of</a>25 and 16 is the lowest<a>number</a>that is the<a>multiple</a>of both the numbers. The LCM is used to simplify<a>fractions</a>by lining up the<a>denominator</a>.</p>

6 <h2>How to find the LCM of 25 and 16?</h2>

7 <p>There are many ways to find LCM of 25 and 16, like listing multiples,<a>prime factorization</a>and<a>division</a>method. The methods are given below:</p>

8 <h3>LCM of 25 and 16 Using Listing the Multiples</h3>

9 <p>Making a List of multiples of each number:</p>

10 <p>Multiples of 25: 25,50,75,100,125,150,175,200…</p>

11 <p> Multiples of 16: 16,32,48,64,80,96,144…….</p>

12 <p>Recognizing the smallest multiple that both numbers have.</p>

13 <p> The LCM (25 and 16) is 400. </p>

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16 <h3>LCM of 25 and 16 Using Prime Factorization</h3>

15 <h3>LCM of 25 and 16 Using Prime Factorization</h3>

17 <p>Find<a>factors</a>of both numbers:</p>

16 <p>Find<a>factors</a>of both numbers:</p>

18 <p>Factors of 25= 5×5</p>

17 <p>Factors of 25= 5×5</p>

19 <p>Factors of 16=2×2×2×2</p>

18 <p>Factors of 16=2×2×2×2</p>

20 <p>Take the largest<a>power</a>of the factors and multiply them:</p>

19 <p>Take the largest<a>power</a>of the factors and multiply them:</p>

21 <p>Largest power of 5: 52</p>

20 <p>Largest power of 5: 52</p>

22 <p>Largest power of 2: 24</p>

21 <p>Largest power of 2: 24</p>

23 <p>Therefore, LCM of 25 and 16 is 400.</p>

22 <p>Therefore, LCM of 25 and 16 is 400.</p>

24 <h3>LCM of 25 and 16 Using Division Method</h3>

23 <h3>LCM of 25 and 16 Using Division Method</h3>

25 <p>List both numbers in a row and divide them by the<a>common factors</a>.</p>

24 <p>List both numbers in a row and divide them by the<a>common factors</a>.</p>

26 <p>Divide by smallest number,<a>i</a>.e., 2 which is only divisible by 16 and 25 remains the same.</p>

25 <p>Divide by smallest number,<a>i</a>.e., 2 which is only divisible by 16 and 25 remains the same.</p>

27 <p>Continue the division by 2 until no other number is divisible by 2, then go to the next number, 25 and divide by 5.</p>

26 <p>Continue the division by 2 until no other number is divisible by 2, then go to the next number, 25 and divide by 5.</p>

28 <p>Multiply the divisors</p>

27 <p>Multiply the divisors</p>

29 <p>2x2x2x2x5x5=400. </p>

28 <p>2x2x2x2x5x5=400. </p>

30 <h2>Common Mistakes and How to Avoid Them in LCM of 25 and 16</h2>

29 <h2>Common Mistakes and How to Avoid Them in LCM of 25 and 16</h2>

31 <p>While learning about LCM of 25 and 16, students may likely make mistakes, to avoid them a few mistakes with solutions are given below: </p>

30 <p>While learning about LCM of 25 and 16, students may likely make mistakes, to avoid them a few mistakes with solutions are given below: </p>

32 <h3>Problem 1</h3>

31 <h3>Problem 1</h3>

33 <p>Two school buses arrive at a school every 25 and 16 minutes, respectively. If both buses arrive at the same time now, in how many minutes will they arrive together again?</p>

32 <p>Two school buses arrive at a school every 25 and 16 minutes, respectively. If both buses arrive at the same time now, in how many minutes will they arrive together again?</p>

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

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

35 <p>Step 1: Find the prime factors of each number:</p>

34 <p>Step 1: Find the prime factors of each number:</p>

36 <p>Factors of 25= 5×5</p>

35 <p>Factors of 25= 5×5</p>

37 <p>Factors of 16= 2×2×2×2</p>

36 <p>Factors of 16= 2×2×2×2</p>

38 <p>Step 2: Determine the LCM by taking the highest power of each prime factor:</p>

37 <p>Step 2: Determine the LCM by taking the highest power of each prime factor:</p>

39 <p>The highest power of 5 is 52.</p>

38 <p>The highest power of 5 is 52.</p>

40 <p>The highest power of 2 is 24.</p>

39 <p>The highest power of 2 is 24.</p>

41 <p>Step 3: Calculate the LCM:</p>

40 <p>Step 3: Calculate the LCM:</p>

42 <p>LCM= 5×5×2×2×2×2=400 </p>

41 <p>LCM= 5×5×2×2×2×2=400 </p>

43 <h3>Explanation</h3>

42 <h3>Explanation</h3>

44 <p>The least common multiple (LCM) of 25 and 16 is 400. This means both buses will arrive at the school together again after 400 minutes.</p>

43 <p>The least common multiple (LCM) of 25 and 16 is 400. This means both buses will arrive at the school together again after 400 minutes.</p>

45 <p>Well explained 👍</p>

44 <p>Well explained 👍</p>

46 <h3>Problem 2</h3>

45 <h3>Problem 2</h3>

47 <p>Two machines stop for maintenance at regular intervals every 25 hours and 16 hours, respectively. When will they both stop at the same time again?</p>

46 <p>Two machines stop for maintenance at regular intervals every 25 hours and 16 hours, respectively. When will they both stop at the same time again?</p>

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

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

49 <p><strong>Step 1:</strong>We already know the prime factors:</p>

48 <p><strong>Step 1:</strong>We already know the prime factors:</p>

50 <p>Factors of 25=52</p>

49 <p>Factors of 25=52</p>

51 <p>Factors of 16=24</p>

50 <p>Factors of 16=24</p>

52 <p><strong>Step 2:</strong>Determine the LCM as before:</p>

51 <p><strong>Step 2:</strong>Determine the LCM as before:</p>

53 <p>Highest power of 5 is 52.</p>

52 <p>Highest power of 5 is 52.</p>

54 <p>Highest power of 2 is 24.</p>

53 <p>Highest power of 2 is 24.</p>

55 <p><strong>Step 3:</strong>Calculate the LCM:</p>

54 <p><strong>Step 3:</strong>Calculate the LCM:</p>

56 <p>LCM=52 x 24 =25 × 16 =400. </p>

55 <p>LCM=52 x 24 =25 × 16 =400. </p>

57 <h3>Explanation</h3>

56 <h3>Explanation</h3>

58 <p> The LCM of 25 and 16 is 400, meaning both machines will stop for maintenance at the same time every 400 hours. This is because 400 hours is the smallest interval where both 25-hour and 16-hour cycles coincide. </p>

57 <p> The LCM of 25 and 16 is 400, meaning both machines will stop for maintenance at the same time every 400 hours. This is because 400 hours is the smallest interval where both 25-hour and 16-hour cycles coincide. </p>

59 <p>Well explained 👍</p>

58 <p>Well explained 👍</p>

60 <h2>FAQs on LCM of 25 and 16</h2>

59 <h2>FAQs on LCM of 25 and 16</h2>

61 <h3>1.Write the LCM of 12,15, and 45?</h3>

60 <h3>1.Write the LCM of 12,15, and 45?</h3>

62 <p>Prime factorization of 12 = 22×3</p>

61 <p>Prime factorization of 12 = 22×3</p>

63 <p>Prime factorization of 15 = 5×3</p>

62 <p>Prime factorization of 15 = 5×3</p>

64 <p>Prime Factorization of 45 =5×32</p>

63 <p>Prime Factorization of 45 =5×32</p>

65 <p>LCM (12,15,45) = 32×22×5 = 180</p>

64 <p>LCM (12,15,45) = 32×22×5 = 180</p>

66 <h3>2.Write the LCM of 9,12,18, 24 and 27?</h3>

65 <h3>2.Write the LCM of 9,12,18, 24 and 27?</h3>

67 <p>- Prime factorize the numbers; </p>

66 <p>- Prime factorize the numbers; </p>

68 <p>9 = 3×3</p>

67 <p>9 = 3×3</p>

69 <p>12 = 2×2×3</p>

68 <p>12 = 2×2×3</p>

70 <p>18 = 3×3×2</p>

69 <p>18 = 3×3×2</p>

71 <p>24 = 2×2×3×2 </p>

70 <p>24 = 2×2×3×2 </p>

72 <p>27= 3×3×3</p>

71 <p>27= 3×3×3</p>

73 <p>LCM(9,12,18,24,27) = 648 </p>

72 <p>LCM(9,12,18,24,27) = 648 </p>

74 <h3>3.What is the LCD (Lowest common denominator) of 5 and 9?</h3>

73 <h3>3.What is the LCD (Lowest common denominator) of 5 and 9?</h3>

75 <p>LCD of 5 and 9 = 45, the smallest number both 5 and 9 divide into. </p>

74 <p>LCD of 5 and 9 = 45, the smallest number both 5 and 9 divide into. </p>

76 <h2>Important glossaries on the LCM of 25 and 16</h2>

75 <h2>Important glossaries on the LCM of 25 and 16</h2>

77 <ul><li><strong>Prime Factor:</strong>A natural number or whole number which has factors that are 1 and itself.</li>

76 <ul><li><strong>Prime Factor:</strong>A natural number or whole number which has factors that are 1 and itself.</li>

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

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

79 </ul><ul><li><strong>Co-prime numbers:</strong>numbers which have the only positive divisor of them both as 1. </li>

78 </ul><ul><li><strong>Co-prime numbers:</strong>numbers which have the only positive divisor of them both as 1. </li>

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

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

81 <p>▶</p>

80 <p>▶</p>

82 <h2>Hiralee Lalitkumar Makwana</h2>

81 <h2>Hiralee Lalitkumar Makwana</h2>

83 <h3>About the Author</h3>

82 <h3>About the Author</h3>

84 <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>

83 <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>

85 <h3>Fun Fact</h3>

84 <h3>Fun Fact</h3>

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

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