The Least Common Multiple (LCM) of 80 and 120 is 240. The LCM is a mathematical method used to find the smallest common multiple between two or more numbers. To understand how to find the LCM of numbers, this guide on Prime Factorisation and Division Method for LCM and HCF is a great resource. This article will walk you through the process of finding the LCM of 80 and 120.
LCM of 80 and 120 - Find the Least Common Multiple
Last Updated on May 30, 2024
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Determining the LCM of 80 and 120
The LCM of 80 and 120 equals 240.
Methods to Calculate the LCM of 80 and 120
We can use the following methods to find the LCM of 80 and 120:
- Prime Factorisation
- Division Method
- Listing the Multiples
Finding the LCM of 80 and 120 Using Prime Factorisation
With the prime factorisation method, we can find the LCM of 80 and 120 by multiplying the prime factors to their highest power.
80 = 2 × 2 × 2 × 2 × 5
120 = 2 × 2 × 2 × 3 × 5
Therefore, LCM (80, 120) = 2 × 2 × 2 × 2 × 3 × 5 = 240
Finding the LCM of 80 and 120 Using the Division Method
The division method involves dividing the numbers 80 and 120 by their prime factors until we reach a row of ones. The product of the divisors gives us the LCM of 80 and 120.
| 2 | 80 | 120 |
| 2 | 40 | 60 |
| 2 | 20 | 30 |
| 2 | 10 | 15 |
| 3 | 5 | 15 |
| 5 | 5 | 5 |
| x | 1 | 1 |
No further division is possible.
Therefore, LCM (80, 120) = 2 × 2 × 2 × 2 × 3 × 5 = 240
Finding the LCM of 80 and 120 By Listing the Multiples
In this method, we list the multiples of 80 and 120 to find the smallest common multiple.
| Multiples of 80 | Multiples of 120 |
| 80 | 120 |
| 160 | 240 |
| 240 | 360 |
| 320 | 480 |
| 400 | 600 |
Thus, LCM (80, 120) = 240
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Frequently Asked Questions
What is the LCM of 80 and 120?
The LCM of 80 and 120 is 240.
Is the LCM of 80 and 120 the same as the HCF of 80 and 120?
No. The LCM of 80 and 120 is 240 and the HCF of 80 and 120 is 40.
Name the methods used to find the LCM of 80 and 120.
The methods used to find the LCM of 80 and 120 are Prime Factorisation, Division method, and Listing the Multiples.
How to find the LCM of 80 and 120 using prime factorisation?
80 = 2 × 2 × 2 × 2 × 5 and 120 = 2 × 2 × 2 × 3 × 5. So, LCM (80, 120) = 2 × 2 × 2 × 2 × 3 × 5 = 240.
Is 340 the LCM of 80 and 120?
No. The LCM of 80 and 120 is 240.
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