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Last updated on November 30th, 2024

LCM of 12 and 16

Q: What is the LCM of 6,12 and 16?

48 is the smallest number that appears commonly on the lists of the numbers 6,12,16. LCM (6,12,16) = 48

Q: What are the factors of 12 and 16 ?

Factors of 12 = 1,2,3,4,6,12 Factors of 16 = 1,2,4,8,16 The common factors of the numbers 12 and 16 = 1,2,4.

Q: What is the LCM of 6 and 16?

48 is the smallest number that appears commonly on the lists of the numbers 6 and 16. LCM (6,16) = 48

Q: What is the HCF of 12 and 16?

GCF of 12 and 16 can be found by listing the factors of the numbers → finding the largest common factor from the list of numbers. Factors of 12 = 1,2,3,4,6,12 Factors of 16 = 1,2,4,8,16 GCF (12,16) = 4

Q: What is the LCM of 6,8 and 12?

24 is the smallest number that appears commonly on the lists of the numbers 6,8 and 12. LCM (6,8,12) = 24

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

LCM is a common multiple, the smallest value between the numbers 3 and 8. Did you know? We apply LCM unknowingly in everyday situations like setting alarms and to synchronize traffic lights and when making music.

What is the LCM of 12 and 16?

The LCM of 3 and 8 is 24. We can find the LCM using the Listing multiples method, the prime factorization method and the long division method. These are explained below.

LCM of 12 and 16 Using Listing the Multiples

Write down the multiples of the numbers. Don’t stop too early.

Step 1 — Multiples of 12 = 12, 24, 36, 48, 60, 72,84,96, …

Step 2 — Multiples of 16 = 16, 32, 48,64,80,96,…

Find the smallest number common between the written multiples of 12 and 16

Step 3— The smallest common multiple is 48

Thus, LCM(12,16) = 48

LCM of 12 and 16 Using Prime Factorization

Step 1 — factorize the numbers into its prime factors

12 = 2×2×3

16 = 2 × 2 ×2 × 2 ×2

Step 2 — find the highest powers of the factors of 12 and 16

Step 3 — Multiply the highest powers

LCM (12,16) = 48

LCM of 12 and 16 Using Division Method

Write the numbers 12,16 in a row

Divide them by their common prime factors, if there is one

Carry forward the numbers that are left undivided by the previously chosen factor

Continue dividing until the remainder is ‘1’

Multiply the divisors to find the LCM

LCM(12,16) = 48

Common Mistakes and how to avoid them while finding the LCM of 12 and 16

LCM of 12 and 16 examples

Ray, the Character from BrightChamps Explaining Math Concepts

Problem 1

If 25% of the LCM of 12 and 16 is used to distribute supplies, how many supplies are distributed?

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

Explanation

Problem 2

A maintenance schedule for projectors is set up every 12 weeks and 16 weeks at a school. If both the projectors are serviced today, in how many weeks will they be serviced again on the same day?

Explanation

Problem 3

Verify the formula LCM(a,b)=a×b/GCF(a,b) for 12 and 16.

Explanation

FAQs on LCM of 12 and 16

1.What is the LCM of 6,12 and 16?

2.What are the factors of 12 and 16 ?

3.What is the LCM of 6 and 16?

4.What is the HCF of 12 and 16?

5.What is the LCM of 6,8 and 12?

Important glossaries for the LCM of 12 and 16

Multiple — product of a number and a natural integer

Prime factor — number one gets after prime factorization any given number

Prime factorization — the process of breaking the number into its prime factors.

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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.