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Last updated on November 29th, 2024

LCM of 3 and 8

Q: Is 32 a common multiple of 3 and 8 ?

No, 32 is not a common multiple of the given numbers. It doesn’t appear with the other multiples of 3.

Q: What is the HCF of 3 and 8?

HCF of 3 and 8 can be found by listing the factors of the numbers → finding the largest common factor from the list of numbers. HCF of 3 and 8 = 1, as there are no common factors, the HCF of the given numbers is 1.

Q: What is divisible by both 3 and 8 ?

The LCM of 3 and 8 is 24. Any multiple of 24 (24,48,72,96 etc.) are divisible by both 3 and 8 and will leave no remainder behind.

Q: What is a multiple of 3 and 8?

24 is a multiple of 3 and 8, so all following multiples of 24 will be a multiple of the digits.

Q: What is the LCM of 3,8 and 24 ?

LCM(3, 8,24) = 24. 24 is the smallest number that appears commonly on the lists of the numbers 3,8 and 24.

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

LCM is a common multiple, the smallest value between the numbers 3 and 8. 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 3 and 8?

The LCM of 3 and 8 is 24. 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 3 and 8 Using Listing the Multiples

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

Multiples of 3 = 3,6,9,12,18,21,24…

Multiples of 8 = 8, 16,24,…

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

The smallest common multiple is 24.

Thus, LCM(3, 8) = 24.

LCM of 3 and 8 Using Prime Factorization

factorize the numbers into its prime factors

3 = 3×1

8 = 2×2×2

find the highest powers of the factors of 3 and 8

Multiply the highest powers

LCM(3,8) = 24

LCM of 3 and 8 Using Division Method

Write the numbers 3,8 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(3, 8) = 24.

Common Mistakes and how to avoid them while finding the LCM of 3 and 8

LCM of 3 and 8, examples

Ray, the Character from BrightChamps Explaining Math Concepts

Problem 1

Use LCM(a,b) = a×b/HCF(a,b) to find the LCM of 3 and 8.

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

Explanation

Problem 2

Goods are received by a shipping company every 3 and 8 months. If the shipments have been received today, when will they next arrive at the same day?

Explanation

Problem 3

LCM of (3,x) is 6. Find x.

Explanation

FAQs on LCM of 3 and 8

1.Is 32 a common multiple of 3 and 8 ?

2. What is the HCF of 3 and 8?

3. What is divisible by both 3 and 8 ?

4.What is a multiple of 3 and 8?

5.What is the LCM of 3,8 and 24 ?

Important glossaries for the LCM of 3 and 8

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.