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Last updated on November 29th, 2024

LCM of 5 and 12

Q: What is the LCM of 5,12 and 20?

LCM(5,12,20) = 60. 60 is the smallest number that appears commonly on the lists of the numbers 5,12,20.

Q: What are the common factors of 5 and 12 ?

Factors of 5–1,5 Factors of 12–1,2,3,4,6,12 There are no common factors between the digits but 1, hence, GCF =1.

Q: What are the multiples of 5 and 12?

— Multiples of 5 = 5,10,15,20,25,30,35,40,45,50,55,60… — Multiples of 12 =12,24,36,48,60,72,84,96,108,120… 5 and 12 share the common multiple 60 which is also the LCM of the numbers.

Q: What is the LCM of 5,4 and 12?

60 is the smallest number that appears commonly on the lists of the numbers 5,4 and 12 LCM(5,4,12) = 60

Q: What is divisible by both 5 and 12?

The LCM of the numbers 5 and 12 is 60, therefore all multiples of 60 are divisible by both 5 and 12.

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

LCM is a common multiple, the smallest value between the numbers 5 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 5 and 12?

The LCM of 5 and 12 is 60. 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 5 and 12 using the Listing Multiples Method

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

— Multiples of 5 = 5,10,15,20,26,30,35,40,45,50,55,60,…

— Multiples of 12 = 12, 24, 36, 48, 60, 52, 60, …

Step 2: Find the smallest number common between the written multiples of 3 and 8

— The smallest common multiple is 60

Thus, LCM(5,12) = 60

LCM of 5 and 12 using the Prime Factorization Method

Step 1:— factorize the numbers into its prime factors

5 = 5×1

12 = 2×2×3

Step 2:— find the highest powers of the factors of 5 and 12

Step 3:— Multiply the highest powers

LCM(5,12) = 60

LCM of 5 and 12 using the Division Method

Write the numbers 5,12 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(5,12) = 60

Common Mistakes and how to avoid them while finding the LCM of 5 and 12

LCM of 5 and 12, examples

Ray, the Character from BrightChamps Explaining Math Concepts

Problem 1

A movie theater alternates between a crime film and a children’s film. The crime film is shown every 5 days and the children’s film is shown every 12 days. In how many days will they both be screened together?

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

Explanation

Problem 2

How many times does the LCM of 5 and 12 occur between 1 and 300?

Explanation

Problem 3

Verify the LCM of 5 and 12 using the formula LCM(a,b)=a×bGCD(a,b)

Explanation

FAQs on LCM of 5 and 12

1.What is the LCM of 5,12 and 20?

2.What are the common factors of 5 and 12 ?

3.What are the multiples of 5 and 12?

4.What is the LCM of 5,4 and 12?

5.What is divisible by both 5 and 12?

Important glossaries for the LCM of 5 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.