How to find the Least Common Multiple of 3 and 10?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 3 and 10.
Follow the steps below, and let's calculate the LCM of 3 and 10.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 3 and 10:
Prime factors of 3
The prime factors of 3 are 3. Prime factorization of 3 in exponential form is:
3 = 31
Prime factors of 10
The prime factors of 10 are 2 and 5. Prime factorization of 10 in exponential form is:
10 = 21x51
Step 2: Identify the highest power of each prime number from the above boxes:
31, 21, 51
Step 3: Multiply these values together:
31x21x51=30
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 3 and 10.
The Least Common Multiple of 3 and 10 is 30.
Method 2 - List of Multiples
Find and list multiples of each number until the first common multiple is found. This is the lowest common multiple.
Multiples of 3:
3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39
Multiples of 10:
10, 20, 30, 40, 50, 60
Therefore,
LCM(3, 10) = 30