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Last updated on November 30th, 2024

LCM of 12 and 20

Q: What are the common factors of 12 and 20?

Factors of 12 = 1,2,3,4,12 Factors of 20 = 1,2,4,5,10,20 Common factors between 12 and 20 = 1,2,4.

Q: Is 12 a factor of 20?

No, 12 is not a factor of 20. When we divide 20 by 12, a remainder is left behind which makes it not a factor. 20/12 = 1.667

Q: What is the HCF of 12 and 20?

GCF of 12 and 20 can be found by listing the factors of the numbers → finding the largest common factor from the list of numbers. Factors of 12 = 1,2,3,4,12 Factors of 20 = 1,2,4,5,10,20 GCF (12,20) = 4

Q: What is the LCM of 12 and 18?

36 is the smallest number that appears commonly on the lists of the numbers 12 and 18. LCM (12,18) = 36

Q: Is 25 a factor of 200 ?

Numbers that are multiplied to reach 25 are called the factors of 25. Yes, 25 is a factor of 200. When divided, no reminders are left. 200/25 = 8.

Professor Greenline Explaining Math Concepts

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Intermediate

Advance Topics

LCM is a common multiple, the smallest value between the numbers 12 and 20. 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 20?

The LCM of 12 and 20 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 12 and 20 Using Listing the Multiples

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

— Multiples of 12 = 12,16,24,36,48,60,…

— Multiples of 20 = 20,40,60,80,…

Step 2: Find the smallest number common between the written multiples of 12 and 20

— The smallest common multiple is 60.

Thus, LCM(12,20) = 60

LCM of 12 and 20 Using Prime Factorization

Step 1:— factorize the numbers into its prime factors

12 = 2×2×3

20 = 2×2×5

Step 2:— find the highest powers of the factors of 12 and 20

Step 3:— Multiply the highest powers

LCM(12,20) = 60

LCM of 12 and 20 Using Division Method

Write the numbers 12,20 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(12,20) = 60

Common Mistakes and how to avoid them while finding the LCM of 12 and 20

LCM of 12 and 20 Examples

Ray, the Character from BrightChamps Explaining Math Concepts

Problem 1

What percentage of the LCM of 12 and 20 is 12?

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

Explanation

Problem 2

If 20 is one of the numbers, and the LCM of the unknown number and 20 is 60, what is the unknown number?

Explanation

Problem 3

Mr. S has two kinds of plants that need watering. The lemon plant needs to be watered every 12 days, and the orange plant needs to be watered every 20 days. If both the plants are watered today, in how many days will Mr. S water them together again?

Explanation

FAQ’s on the LCM of 12 and 20

1.What are the common factors of 12 and 20?

2.Is 12 a factor of 20?

3.What is the HCF of 12 and 20?

4.What is the LCM of 12 and 18?

5.Is 25 a factor of 200 ?

Important glossaries on the LCM of 12 and 20

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.