Prime factorization of 120 and 144 is (2 × 2 × 2 × 3 × 5) = 23 × 31 × 51 and (2 × 2 × 2 × 2 × 3 × 3) = 24 × 32 respectively. LCM of 120 and 144 can be obtained by multiplying prime factors raised to their respective highest power, i.e. 24 × 32 × 51 = 720. Hence, the LCM of 120 and 144 by prime factorization is 720.
What is the LCM of 144 and 360?
What is the LCM of 144 and 360? The LCM of 144 and 360 is 720.
How do you find a Numbers least common multiple?
How to find LCM by Prime Factorization
- Find all the prime factors of each given number.
- List all the prime numbers found, as many times as they occur most often for any one given number.
- Multiply the list of prime factors together to find the LCM.
What is the LCM of 9 and 120?
The LCM of 9 and 120 is 360.
What is the HCF of 144 and 120?
24
The HCF of 120 and 144 is 24.
How to find the least common multiple of 12?
Sal finds the LCM (least common multiple) of 12 and 36, and of 12 and 18. He shows how to do that using the prime factorization method, which is a just great!
When to use LCM for more than two numbers?
These methods also work when finding the LCM of more than two numbers. Assess your numbers. This method works best when you are working with two numbers that are less than 10. If you are working with larger numbers, it’s best to use a different method. For example, you might need to find the least common multiple of 5 and 8.
How to calculate the least common multiple in Excel?
Starting with the lowest prime numbers, divide the row of numbers by a prime number that is evenly divisible into at least one of your numbers and bring down the result into the next table row. If any number in the row is not evenly divisible just bring down that number.
How to find the LCM using the greatest common factor?
The formula to find the LCM using the Greatest Common Factor GCF of a set of numbers is: A factor is a number that results when you can evenly divide one number by another. In this sense, a factor is also known as a divisor. The greatest common factor of two or more numbers is the largest number shared by all the factors.
