- Word Problem Involving the Least Common Multiple of 2 Numbers
- Least Common Multiple of 3 Numbers
- Least Common Multiple of 2 Numbers
- Factoring a Sum or Difference of Whole Numbers
- Introduction to Factoring With Numbers
- Understanding the Distributive Property
- Introduction to Distributive Property
- Greatest Common Factor of 3 Numbers
- Greatest Common Factor of 2 Numbers
- Prime Factorization
- Prime Numbers
- Factors
- Divisibility Rules for 3 and 9
- Divisibility Rules for 2, 5, and 10
- Even and Odd Numbers
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Least Common Multiple of 2 Numbers
The multiple of a number is that number multipped by an integer. The multiples of a number are found by multiplying it with 1, 2, 3, 4....and so on.
For example, the multiples of 4 are 4 × 1, 4 × 2, 4 × 3, 4 × 4,...or 4, 8, 12, 16 ...and so on.
The multiples of two numbers that are common to both the numbers are known as common multiples of those numbers.
The smallest positive number that is a common multiple of two numbers is the least common multiple or (lcm) of those two numbers.
The least common muptple of two numbers is also the smallest number that both the numbers spanide completely without leaving a remainder.
Rules to find the least common multiple of two numbers
We begin by psting the first few multiples of the two numbers.
Then we look for the common multiples of both the numbers.
The first common multiple of the numbers would be their least common multiple.
Find the least common multiple of 8 and 10
Solution
Step 1:
The multiples of 8 and 10 are as follows
Multiples of 8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80...
Multiples of 10 = 10, 20, 30, 40, 50, 60, 70, 80...
Step 2:
The first common multiple of 8 and 10 is 80, which is their least common multiple (lcm)
Find the least common multiple of 12 and 18
Solution
Step 1:
The multiples of 12 and 18 are as follows
Multiples of 12 = 12, 24, 36 , 48, 60, 72, 84...
Multiples of 18 = 18, 36, 54, 72, 90, 108...
Step 2:
The first common multiple of 12 and 18 is 36, which is their least common multiple (lcm)
Find the least common multiple of 9 and 15
Solution
Step 1:
The multiples of 9 and 15 are as follows
Multiples of 9 = 9, 18, 27, 36, 45, 54...
Multiples of 15 = 15, 30, 45, 60...
Step 2:
The first common multiple of 9 and 15 is 45, which is their least common multiple (lcm)