155 LearnersLast updated on May 26th, 2025
LCM of 25 and 16
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.
What is the LCM of 25 and 16?
The LCM of 25 and 16 is the lowest number that is the multiple of both the numbers. The LCM is used to simplify fractions by lining up the denominator.
How to find the LCM of 25 and 16?
There are many ways to find LCM of 25 and 16, like listing multiples, prime factorization and division method. The methods are given below:
LCM of 25 and 16 Using Listing the Multiples
Making a List of multiples of each number:
Multiples of 25: 25,50,75,100,125,150,175,200…
Multiples of 16: 16,32,48,64,80,96,144…….
Recognizing the smallest multiple that both numbers have.
The LCM (25 and 16) is 400.
LCM of 25 and 16 Using Prime Factorization
Find factors of both numbers:
Factors of 25= 5×5
Factors of 16=2×2×2×2
Take the largest power of the factors and multiply them:
Largest power of 5: 52
Largest power of 2: 24
Therefore, LCM of 25 and 16 is 400.
LCM of 25 and 16 Using Division Method
List both numbers in a row and divide them by the common factors.
Divide by smallest number, i.e., 2 which is only divisible by 16 and 25 remains the same.
Continue the division by 2 until no other number is divisible by 2, then go to the next number, 25 and divide by 5.
Multiply the divisors
2x2x2x2x5x5=400.
Common Mistakes and How to Avoid Them in LCM of 25 and 16
While learning about LCM of 25 and 16, students may likely make mistakes, to avoid them a few mistakes with solutions are given below:
Mistake 1
Not using non-prime factors improperly.
Not using non-prime factors improperly.
LCM of 25 and 16 examples
Problem 1
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?
Step 1: Find the prime factors of each number:
Factors of 25= 5×5
Factors of 16= 2×2×2×2
Step 2: Determine the LCM by taking the highest power of each prime factor:
The highest power of 5 is 52.
The highest power of 2 is 24.
Step 3: Calculate the LCM:
LCM= 5×5×2×2×2×2=400
Explanation
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.
Problem 2
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?
Step 1: We already know the prime factors:
Factors of 25=52
Factors of 16=24
Step 2: Determine the LCM as before:
Highest power of 5 is 52.
Highest power of 2 is 24.
Step 3: Calculate the LCM:
LCM=52 x 24 =25 × 16 =400.
Explanation
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.
FAQs on LCM of 25 and 16
1.Write the LCM of 12,15, and 45?
2.Write the LCM of 9,12,18, 24 and 27?
3.What is the LCD (Lowest common denominator) of 5 and 9?
4.How can children in United States use numbers in everyday life to understand LCM of 25 and 16?
5.What are some fun ways kids in United States can practice LCM of 25 and 16 with numbers?
6.What role do numbers and LCM of 25 and 16 play in helping children in United States develop problem-solving skills?
7.How can families in United States create number-rich environments to improve LCM of 25 and 16 skills?
Important glossaries on the LCM of 25 and 16
- Prime Factor: A natural number or whole number which has factors that are 1 and itself.
- Prime Factorization: The process of breaking down a number into its prime factors is called Prime Factorization.
- Co-prime numbers: numbers which have the only positive divisor of them both as 1.
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Hiralee Lalitkumar Makwana
About the Author
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.
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