Topic Details (Notes format)

How to Find the Least Common Multiple (LCM)

Subject: Mathematics

Book: Maths Mastery

The LCM of two integers is the smallest positive integer that is a multiple of both. For instance, the LCM of 6 and 8 is 24. One method is to list multiples until a common one appears: multiples of 6 are 6, 12, 18, 24, 30..., and multiples of 8 are 8, 16, 24, 32.... 24 is the first match. Alternatively, use the relationship LCM(a, b) × GCD(a, b) = a × b. The LCM is extremely useful for adding fractions with different denominators, coordinating schedules, and dealing with cyclical events. Learning to compute it quickly helps streamline many arithmetic operations and problem-solving scenarios.

Practice Questions

What is the sum of the first 10 positive even numbers?

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What is the 7th term of the arithmetic progression 3, 6, 9, 12,...?

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If log(100) = 2 and log(10) = 1, what is log(1000)?

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If x = 3 and y = 4, what is the value of x^2 + y^2?

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A rectangle has a length of 10 cm and a width of 5 cm. What is the diagonal of the rectangle?

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If 3x = 81, what is the value of x?

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If the ratio of two numbers is 3:5 and their HCF is 4, what are the numbers?

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A sum of money triples itself in 12 years at simple interest. What is the rate of interest per annum?

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If a person can type 45 words per minute, how many words can they type in 2 hours?

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The sides of a triangle are 7, 24, and 25. Is this a right triangle?

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