173 LearnersLast updated on November 30th, 2024
LCM of 12 and 15
LCM is a common multiple, the smallest value between the numbers 12 and 15. 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 15?
The LCM of 12 and 15 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 15 Using Listing the Multiples
Step1; Write down the multiples of the numbers. Don’t stop too early.
12 = 12,24,48,60 …
15 = 15,60,45,60,75,…
Step 2: Find the smallest number common between the written multiples of 12 and 15
— The smallest common multiple is 60.
Thus, LCM(12,15) = 60
LCM of 12 and 15 Using Prime Factorization
Step 1— factorize the numbers into its prime factors
12 =2×2×3
15 =5×3
Step 2— find the highest powers of the factors of 12 and 15
Step 3— Multiply the highest powers
LCM(12,15) = 60
LCM of 12 and 15 Using Division Method
- Write the numbers 12, 15 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(12,15) = 60
Common Mistakes and how to avoid them while finding the LCM of 12 and 15
LCM of 12 and 15 Examples
Problem 1
The GCF of two numbers is 3, and one of the numbers is 12. If the LCM of the two numbers is 60, find the missing number.
Explanation
Problem 2
Find the ratio of the GCF to the LCM of 12 and 15.
Explanation
Problem 3
Add the fractions 5/12 and 7/15 by finding the LCM of the denominators.
Explanation
FAQs on LCM of 12 and 15
1.What is the LCM of 5,15 and 20?
2.What is the HCF of 5 and 20?
3. Is 20 a multiple of 5?
4. Is 0 a multiple of 5?
5.What is the LCM of 17 and 11?
6.How can children in Oman use numbers in everyday life to understand LCM of 12 and 15?
7.What are some fun ways kids in Oman can practice LCM of 12 and 15 with numbers?
8.What role do numbers and LCM of 12 and 15 play in helping children in Oman develop problem-solving skills?
9.How can families in Oman create number-rich environments to improve LCM of 12 and 15 skills?
Important glossaries on the LCM of 12 and 15
- 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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About BrightChamps in Oman
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.
Fun Fact
: She loves to read number jokes and games.
