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 cube root of 729?

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If a = 2 and b = 3, what is the value of (a^2 + b^2)?

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What is the square root of 121?

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If x + 1/x = 5, what is the value of x^2 + 1/x^2?

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If a = 4 and b = 5, what is the value of (a+b)^2?

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

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What is the sum of the first 20 odd numbers?

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If x^2 - 5x + 6 = 0, what are the roots?

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The perimeter of a rectangle is 40 cm, and its length is 12 cm. What is its width?

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If sin(x) = 3/5 and x is in the first quadrant, what is cos(x)?

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