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Last updated on November 29th, 2024

LCM of 4 and 5

Q: What is the LCM of 4,5 and 1 ?

LCM(4,5,1) = 20. 20 is the smallest number that appears commonly on the lists of the numbers 4,5 and 1.

Q: What are the factors of 4 and 5?

Factors of 4=1,2,4 Factors of 5=1,5 There are no common factors between the digits but 1, hence, GCF =1.

Q: What is the LCM of 4,5 and 7 ?

140 is the smallest number that appears commonly on the lists of the numbers 4,5 and 7. LCM(4,5,7) = 140

Q: What are the common factors of 4 and 5?

There are no shared common factors between the numbers 4 and 5. In cases like this, when there are no common factors between the numbers the GCF is always 1.

Professor Greenline Explaining Math Concepts

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Advance Topics

LCM is a common multiple, the smallest value between the numbers 4 and 5. 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 4 and 5?

The LCM of 4 and 5 is 20. 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 4 and 5 using the Listing Multiples Method

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

— Multiples of 4 = 4,8,12,16,20…

— Multiples of 5 = 5,10,15,20,…

Step 2: Find the smallest number common between the written multiples of 3 and 8

— The smallest common multiple is 20.

Thus, LCM(4,5) = 20

LCM of 4 and 5 using the Prime Factorization Method

Step 1 — factorize the numbers into its prime factors

4 = 2×2

5= 5×1

Step 2 — find the highest powers of the factors of 4 and 5

Step 3 — Multiply the highest powers

LCM(4,5) = 20

LCM of 4 and 5 using the Division Method

Write the numbers 4,5 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(4,5) = 20

Common Mistakes and how to avoid them while finding the LCM of 4 and 5

LCM of 4 and 5 Examples

Ray, the Character from BrightChamps Explaining Math Concepts

Problem 1

The LCM of 4 and x is 20, find x.

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

Explanation

Problem 2

A company has meetings every 4 days and 5 days. If both the conference rooms are booked today, when will they next be booked together ?

Explanation

Problem 3

a=4,b=5, verify the relationship between the GCF and LCM of the numbers.

Explanation

FAQs on LCM of 4 and 5

1. What is the LCM of 4,5 and 1 ?

2. What are the factors of 4 and 5?

3.What is the LCM of 4,5 and 7 ?

4.What are the common factors of 4 and 5?

Important glossaries for the LCM of 4 and 5

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.