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Last updated on November 29th, 2024

LCM of 36 and 48

Q: What are the common factors of 36 and 48?

Factors of 36 = 1,2,3,4,6,9,12,18,36 Factors of 48 = 1,2,3,4,6,8,12,16,24,48 Common factors between the numbers = 1,2,3,4,6,12

Q: What is the LCM of 30 and 48?

240 is the smallest number that appears commonly on the lists of the numbers 30 and 48. LCM (30,48) = 240

Q: What is the LCM of 36,48 and 72?

LCM (36,48,72) = 144 144 is the smallest number that appears commonly on the lists of the numbers 36,48 and 72.

Q: What is the HCF of 36 and 48?

HCF of 36 and 48 can be found by listing the factors of the numbers → finding the largest common factor from the list of numbers. Factors of 36 = 1,2,3,4,6,9,12,18,36 Factors of 48 = 1,2,3,4,6,8,12,16,48 HCF (36,48) = 12

Q: What is the LCM of 24,36 and 48?

LCM (24,36,48) = 144 144 is the smallest number that appears commonly on the lists of the numbers 24, 36 and 48.

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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

LCM of 36 and 48 Examples

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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?

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Explanation

Problem 2

If the LCM of 36 and an unknown number xxx is 144, find xxx.

Explanation

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?

Explanation

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?

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.