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Last updated on November 29th, 2024

LCM of 4 and 12

Q: What is the HCF of 4 and 12?

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

Q: What are the common factors of 4 and 12 ?

Factors of 4: 1,2,4 Factors of 12: 1,2,3,4,6,12 Common factors of the numbers: 1,2,4

Q: What is the LCM of 8,4 and 12 ?

24 is the smallest number that appears commonly on the lists of the numbers 8,4 and 12. LCM (4,8,12) = 24

Q: How many multiples of 4 are in 12?

The product of a number and a natural integer is called a multiple. The multiples of 4 up to 12 are just 2, 4 and 8.

Q: Is 0 a multiple of 4?

The product of a number and a natural integer is a multiple. Yes, any non-zero number is a multiple of 0.

Professor Greenline Explaining Math Concepts

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Advance Topics

LCM is a common multiple, the smallest value between the numbers 4 and 12. 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 4 and 12?

The LCM of 4 and 12 is 12. 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 4 and 12 Using Listing the Multiples

Step 1: Write down the multiples of the numbers. Don’t stop too early.

— Multiples of 4 = 4,8,12,16,20,24, …

— Multiples of 12 = 12, 24, 46, …

Step 2: Find the smallest number common between the written multiples of 4 and 12

— The smallest common multiple is 12

Thus, LCM(4,12) = 12

LCM of 4 and 12 Using Prime Factorization

Step1 : factorize the numbers into its prime factors

4 = 2 × 2

12 = 2 × 2 × 4

Step 2: find the highest powers of the factors of 4 and 12

Step 3:Multiply the highest powers

LCM(4,12) = 12

LCM of 4 and 12 Using Division Method

Write the numbers 4,12 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(4,12) = 12

Common Mistakes and how to avoid them while finding the LCM of 4 and 12

LCM of 4 and 12 Examples

Ray, the Character from BrightChamps Explaining Math Concepts

Problem 1

The LCM of 4 and 12 is 12. What is the percentage increase from the smaller number to the LCM?

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

Explanation

Problem 2

Employee A and employee B work different shifts. A works every 4 days, and B every 12 days. If they both work on the same day today, when will they next work together?

Explanation

Problem 3

Use the relationship LCM(a,b)=a×b/GCF(a,b) to find the LCM of 4 and 12.

Explanation

FAQs on LCM of 4 and 12

1.What is the HCF of 4 and 12?

2.What are the common factors of 4 and 12 ?

3.What is the LCM of 8,4 and 12 ?

4.How many multiples of 4 are in 12?

5.Is 0 a multiple of 4?

Important glossaries for the LCM of 4 and 12

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.