The Least Common Multiple (LCM) of 11 and 33 is 33. LCM is a useful mathematical concept that refers to the smallest multiple that is common to two or more numbers. It's a great tool for solving a variety of mathematical problems. In this article, we'll explore three different methods to find the LCM of 11 and 33: prime factorisation, the division method, and listing the multiples.
LCM of 11 and 33 - Methods to Find & Solved Examples | Testbook.com
Last Updated on Jun 10, 2024
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What is the LCM of 11 and 33?
The Least Common Multiple of 11 and 33 is 33.
How to Calculate the LCM of 11 and 33?
The LCM of 11 and 33 can be calculated using three different methods:
- Prime Factorisation
- Division Method
- Listing the Multiples
Finding the LCM of 11 and 33 Using Prime Factorisation
Prime factorisation involves breaking down the given numbers into their prime factors. The LCM is then found by multiplying the highest power of all the prime factors involved. For the numbers 11 and 33, the prime factorisation is as follows:
11 = 11
33 = 3 × 11
LCM (11, 33) = 3 × 11 = 33
Finding the LCM of 11 and 33 Using the Division Method
The division method involves dividing the given numbers by their prime factors until all the rows show the number one. The LCM is then the product of all the divisors.
Hence, LCM (11, 33) = 3 × 11 = 33
Finding the LCM of 11 and 33 by Listing the Multiples
This method involves listing the multiples of the given numbers and identifying the smallest common multiple.
LCM (11, 33) = 33
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Frequently Asked Questions
What is the LCM of 11 and 33?
The LCM of 11 and 33 is 33.
Is the LCM of 11 and 33 the same as the HCF of 11 and 33?
No. The LCM of 11 and 33 is 33 and the HCF of 11 and 33 is 11.
What are the methods used to find the LCM of 11 and 33?
The LCM of 11 and 33 can be obtained by using the Prime Factorisation, Division method, and Listing the Multiples.
Calculate the GCF if the LCM of 11 and 33 is 33.
GCF × LCM = 11 × 33. Given LCM = 33, GCF × 33 = 11 × 33. Therefore, GCF = 11.
53 is the LCM of 11 and 33. True or False.
False. The LCM of 11 and 33 is 33.
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