168 LearnersLast updated on May 26th, 2025
LCM of 36 and 48
LCM is a common multiple, the smallest value between the numbers 36 and 48. 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 36 and 48?
The LCM of 36 and 48 is 144. 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 36 and 48 Using Listing the Multiples
Step1 : Write down the multiples of the numbers. Don’t stop too early.
Multiples of 36 = 36,72,108,144,…
Multiples of 48 =48,96,144,…
Step 2: The smallest common multiple is 144
Thus, LCM(36,48) = 144
LCM of 36 and 48 Using Prime Factorization
Step 1 : factorize the numbers into its prime factors
36 = 22×32
48 = 24×3
Step 2 : find the highest powers of the factors of 36 and 48
Step 3 : Multiply the highest powers
LCM(36,48) = 144
LCM of 36 and 48 Using Division Method
- Write the numbers 36,48 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(36,48) = 144
Common Mistakes and how to avoid them while finding the LCM of 36 and 48
Listed here are a few mistakes that one can commit when trying to find the LCM of the numbers 36 and 48. Try to avoid them.
Mistake 1
Listing incorrect multiples
If the LCM of given numbers is 144, double-check that the number appears on the list of both 36 and 48.
LCM of 36 and 48 Examples
Problem 1
A radio station plays the advertisement for beauty products every 36 minutes and another advertisement for stationery every 48 minutes. If they both start at the same time now, after how long will they both play together again?
The LCM of 36 and 48 is 144.
Explanation
The LCM of 36 and 48 is 144, which is the smallest common time interval for the given digits.
Problem 2
If the LCM of 36 and an unknown number xxx is 144, find xxx.
Use the LCM property:
LCM(36,x)=36×x/GCF(36,x)=144
Since LCM is 144, possible values of x could be any number such that GCF (36,x) is 12 or lower.
The possible values for x can be found as:
x could be 48 since GCF(36,48)=12
x could be 72 since GCF(36,72)=36
Hence, x=48 or x=72
Explanation
x could be 48 or 72.
Problem 3
Compare the LCM of 36 and 48 with the product of these two numbers. How much larger is the product than the LCM?
Product of 36 and 48:
36×48=1728
Compare with the LCM:
1728−144=1584
Explanation
The product is 1584 larger than the LCM.
FAQs on LCM of 36 and 48
1.What are the common factors of 36 and 48?
2.What is the LCM of 30 and 48?
3.What is the LCM of 36,48 and 72?
4. What is the HCF of 36 and 48?
5.What is the LCM of 24,36 and 48?
6.How can children in Philippines use numbers in everyday life to understand LCM of 36 and 48?
7.What are some fun ways kids in Philippines can practice LCM of 36 and 48 with numbers?
8.What role do numbers and LCM of 36 and 48 play in helping children in Philippines develop problem-solving skills?
9.How can families in Philippines create number-rich environments to improve LCM of 36 and 48 skills?
Important glossaries for the LCM of 36 and 48
- 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.
Fun Fact
: She loves to read number jokes and games.
