LCM of 15 and 55 is 165. The Least Common Multiple (LCM) is the smallest number that is a multiple of two or more numbers. This article will guide you through the process of finding the LCM of 15 and 55. By referring to the article Least Common Multiple (LCM) you will gain a comprehensive understanding of the concept of LCM.
LCM of 15 and 55 - Methods & Solved Examples | Testbook
Last Updated on Jun 10, 2024
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What is the LCM of 15 and 55?
The Least Common Multiple of 15 and 55 is 165.
How to Calculate LCM of 15 and 55?
You can find the LCM of 15 and 55 by using three methods:
- Prime Factorisation
- Division method
- Listing the Multiples
Finding LCM of 15 and 55 Using Prime Factorisation
In the prime factorisation method, we break down the numbers into the product of their prime factors. The LCM is then the product of the highest power of all the prime factors.
15 = 3 × 5
55 = 5 × 11
LCM (15, 55) = 3 × 5 × 11 = 165
Finding LCM of 15 and 55 Using Division Method
In the division method, we divide the numbers 15 and 55 by their prime factors until we get one in the entire row. The product of the divisors gives us the LCM of 15 and 55.
| 3 | 15 | 55 |
| 5 | 5 | 55 |
| 11 | 1 | 11 |
| x | 1 | 1 |
No further division is possible.
Hence, LCM (15, 55) = 3 × 5 × 11 = 165
Finding LCM of 15 and 55 by Listing the Multiples
In this method, we list the multiples of 15 and 55 and look for the smallest common multiple. The table below lists the multiples of 15 and 55.
| Multiples of 15 | Multiples of 55 |
| 15 | 55 |
| 30 | 110 |
| 45 | 165 |
| 60 | 220 |
| 75 | 275 |
| 90 | 330 |
| 105 | 385 |
| 120 | 440 |
| 135 | 495 |
| 150 | 550 |
| 165 | 605 |
| 180 | 660 |
LCM (15, 55) = 165
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Frequently Asked Questions
What is the LCM of 15 and 55?
The LCM of 15 and 55 is 165.
Mention the LCM of 15 and 55 and the HCF of 15 and 55.
The LCM of 15 and 55 is 165 and the HCF of 15 and 55 is 5.
Name the methods used to find the least common multiple of 15 and 55.
The methods used to find the least common multiple of 15 and 55 are: Prime Factorisation, Division method, and Listing the Multiples.
Calculate the GCF if the LCM of 15 and 55 is 165.
GCF × LCM = 15 × 55. Given LCM = 165, GCF × 165 = 15 × 55. Hence, GCF = 5.
Is 155 the LCM of 15 and 55?
No. The LCM of 15 and 55 is 165.
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