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Last updated on November 30th, 2024

LCM of 2 and 4

Q: What is the LCM of 2,4 and 8?

LCM (2,4,8) = 8 8 is the smallest number that appears commonly on the lists of the numbers 2,4 and 8.

Q: What is the HCF of 2 and 4 ?

HCF of 2 and 4 can be found by listing the factors of the numbers → finding the largest common factor from the list of numbers. Factors of 2: 1,2 Factors of 4: 1,2,4 HCF of 2,4 = 2

Q: What is the LCM of 3 and 4?

LCM (3,4) = 12 12 is the smallest number that appears commonly on the lists of the numbers 3 and 4.

Q: What is the LCM of 7 and 5?

35 is the smallest number that appears commonly on the lists of the numbers 7 and 5. LCM (5,7) =35

Q: What is the LCM of 7 and 8?

LCM (7,8)= 56 56 is the smallest number that appears commonly on the lists of the numbers 7 and 8.

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

LCM is a common multiple, the smallest value between the numbers 2 and 4. 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 2 and 4?

The LCM of 2 and 4 is 4. 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 2 and 4 Using Listing the Multiples

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

Multiples of 2 = 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, …

Multiples of 4 = 4,8,12,16,20,…

Step 2: Find the smallest number common between the written multiples of 2 and 4

— The smallest common multiple is 4

Thus, LCM(2,4) = 4

LCM of 2 and 4 Using Prime Factorization

Step 1: — factorize the numbers into its prime factors

2 = 2

4 = 2×2

Step 2: — find the highest powers of the factors of 2 and 4

Step 3 : — Multiply the highest powers

LCM(2,4) = 4

LCM of 2 and 4 Using Division Method

Write the numbers 2,4 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(2,4) = 4

Common Mistakes and how to avoid them while finding the LCM of 2 and 4

LCM of 2 and 4 examples

Ray, the Character from BrightChamps Explaining Math Concepts

Problem 1

A takes a water break every 2 hours, and B does so every 4 hours. If they take a break together at noon, when will they take their next break?

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

Explanation

Problem 2

Verify that the LCM of 2 and 4 is the product of the highest powers of all primes involved in their factorizations.

Explanation

Problem 3

If the LCM of 2 and 4 is multiplied by 150%, what is the result?

Explanation

FAQs on LCM of 2 and 4

1.What is the LCM of 2,4 and 8?

2.What is the HCF of 2 and 4 ?

3.What is the LCM of 3 and 4?

4.What is the LCM of 7 and 5?

5.What is the LCM of 7 and 8?

Important glossaries for the LCM of 2 and 4

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.