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

The sum of the reciprocals of two numbers is 1/4. If one number is 12, what is the other?

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If the sides of a triangle are 6 cm, 8 cm, and 10 cm, what is the area of the triangle?

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The sides of a triangle are 5 cm, 12 cm, and 13 cm. What type of triangle is it?

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If a:b = 7:9 and b:c = 5:6, what is a:c?

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What is the sum of the interior angles of a hexagon?

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The angles of a quadrilateral are in the ratio 3:4:5:6. What is the largest angle?

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If 2a + b = 10 and a - b = 4, what is the value of a?

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