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Last updated on November 29th, 2024

LCM of 25 and 16

Q: Write the LCM of 12,15, and 45?

Prime factorization of 12 = 22×3 Prime factorization of 15 = 5×3 Prime Factorization of 45 =5×32 LCM (12,15,45) = 32×22×5 = 180

Q: Write the LCM of 9,12,18, 24 and 27?

— Prime factorize the numbers; 9 = 3×3 12 = 2×2×3 18 = 3×3×2 24 = 2×2×3×2 27= 3×3×3 LCM(9,12,18,24,27) = 648

Q: What is the LCD (Lowest common denominator) of 5 and 9?

LCD of 5 and 9 = 45, the smallest number both 5 and 9 divide into.

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

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

LCM of 25 and 16 examples

Ray, the Character from BrightChamps Explaining Math Concepts

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?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Explanation

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?

Explanation

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?

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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$Math Teacher Image$

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.