The Least Common Multiple (LCM) of 8, 9 and 10 is 360. The LCM is the smallest positive integer that is divisible by two or more numbers. To gain a comprehensive understanding of the concept of LCM, you can refer to this article . This article will guide you on how to calculate the LCM of 8, 9 and 10 using easy-to-understand examples.
LCM of 8, 9 and 10 - Methods and Solved Examples
Last Updated on May 30, 2024
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What is the LCM of 8, 9 and 10?
The Least Common Multiple of 8, 9 and 10 is 360.
How can we calculate the LCM of 8, 9 and 10?
The LCM of 8, 9 and 10 can be calculated using three methods:
- Prime Factorisation
- Division method
- Listing the Multiples
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An example to illustrate the concept
Problem: What is the smallest number that is divisible by 8, 9, and 10 without leaving a remainder?
Solution: The smallest number that is divisible by 8, 9, and 10 without leaving a remainder is their LCM. Here, the LCM of 8, 9, and 10 is 360. Therefore, 360 is the smallest number that is divisible by 8, 9, and 10 without leaving a remainder.
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Frequently Asked Questions
What is the LCM of 8, 9 and 10?
The LCM of 8, 9 and 10 is 360.
Is the LCM of 8, 9 and 10 the same as the HCF of 8, 9 and 10?
No. The LCM of 8, 9 and 10 is 360 and the HCF of 8, 9 and 10 is 1.
Mention the methods used to find the least common multiple of 8, 9 and 10.
The following methods are used to find the least common multiple of 8, 9 and 10: Prime Factorisation, Division method, Listing the Multiples.
How to find the LCM of 8, 9 and 10 using the prime factorisation method?
To find the LCM using prime factorisation, we express the numbers as the product of prime factors. 8 = 2 × 2 × 2, 9 = 3 × 3, 10 = 2 × 5. LCM (8, 9, 10) = 2 × 2 × 2 × 3 × 3 × 5 = 360.
Which of the following is the LCM of 8, 9 and 10? 200, 260, 100, 360.
The smallest common multiple of 8, 9 and 10 is their LCM value. The number which satisfies this condition is 360.