Last updated on May 26th, 2025
LCM is a common multiple, the smallest value between the numbers 5 and 8. Did you know? We apply LCM unknowingly in everyday situations like setting alarms and to synchronize traffic lights and when making music.
The LCM of 5 and 8 is 40. We can find the LCM using the Listing multiples method, the prime factorization method and the long division method. These are explained below.
Step 1: Write down the multiples of the numbers. Don’t stop too early.
Multiples of 5 = 5,10,15,20,25,30,35,40,…
Multiples of 8 = 8, 16,24,32,40,…
Step 2: Find the smallest number common between the written multiples of 5 and 8
The smallest common multiple is 40
Thus, LCM(5,8) = 40
Step 1: factorize the numbers into its prime factors
5 = 5×1
8 = 2×2×2
Step 2: find the highest powers of the factors of 5 and 8
Step 3: Multiply the highest powers
LCM(5,8) = 40
Listed here are a few mistakes that one can commit when trying to find the LCM of the numbers 5 and 8. Try to avoid them.
One cookie jar is filled every 5 hours, and the candy jar is filled every 8 hours. If the jars started filling at the same time, how long will it take for the both of them to be filled?
The LCM of 5 and 8 is 40.
Both jars will be filled at the same time again in 40 hours, which is the LCM of the given numbers, expressing the smallest time interval.
Find the LCM of 5² and 8².
52=25
82=64
Now find the LCM of 25 and 64. The prime factorizations are:
25=52
64=22
The LCM is found by taking the highest powers of all prime factors:
LCM(25,64)=52×26=25×64=1600
So, the LCM is 1600.
By what percentage must 5 be increased to reach the LCM of 5 and 8?
The LCM of 5 and 8 is 40. Now, calculate the percentage increase from 5 to 40:
Percentage Increase=(540−5​)/5×100=35/5​×100=700%
So, 5 must be increased by 700% to reach 40.
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.
: She loves to read number jokes and games.