240 LearnersLast updated on November 29th, 2024
LCM of 4 and 5
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
Problem 1
The LCM of 4 and x is 20, find x.
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?
5.How can children in Saudi Arabia use numbers in everyday life to understand LCM of 4 and 5?
6.What are some fun ways kids in Saudi Arabia can practice LCM of 4 and 5 with numbers?
7.What role do numbers and LCM of 4 and 5 play in helping children in Saudi Arabia develop problem-solving skills?
8.How can families in Saudi Arabia create number-rich environments to improve LCM of 4 and 5 skills?
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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About BrightChamps in Saudi Arabia
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.
