LCM and HCF Quiz for Algebra Class 10
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Questions and Answers

What is the least common multiple (LCM) of 16, 24, and 40?

  • 480
  • 240 (correct)
  • 120
  • 360

What is the highest common factor (HCF) of 48, 56, and 72 using factorization?

  • 16
  • 12
  • 4
  • 8 (correct)

Which of the following is the HCF of 120 and 168 using factorization?

  • 60
  • 24 (correct)
  • 36
  • 12

What is the least common multiple (LCM) of 72, 96, and 120?

<p>1440 (C)</p> Signup and view all the answers

What is the HCF of the numbers 198, 360?

<p>18 (A)</p> Signup and view all the answers

The LCM of 16, 24, and 40 is ______.

<p>120</p> Signup and view all the answers

Using the factorization method, the HCF of 48, 56, and 72 is ______.

<p>8</p> Signup and view all the answers

The LCM of 72, 96, and 120 is ______.

<p>360</p> Signup and view all the answers

When applying the factorization method, the HCF of 120 and 168 is ______.

<p>24</p> Signup and view all the answers

The LCM of 120, 150, and 135 is ______.

<p>540</p> Signup and view all the answers

Flashcards

LCM of 16, 24, 40

The least common multiple of 16, 24, and 40 is the smallest positive integer that is divisible by all of them.

HCF of 48, 56, 72

The highest common factor (HCF) of 48, 56, and 72 is the largest positive integer that divides all of them evenly.

Find HCF using prime factorization.

Prime factorization is a method used to find the greatest common factor of a set of numbers. It involves finding the prime factors of each number then identify the common prime factors to calculate the HCF.

Find LCM using the prime factors.

The prime factorization method is also used when finding the least common multiple (LCM) of a set of numbers. It involves finding the prime factors of each number, take the highest power of each prime factor found, then multiply these factors together to get the LCM.

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LCM(120, 168)

The least common multiple of 120 and 168 is the smallest positive integer that is divisible by both 120 and 168.

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LCM

The least common multiple (LCM) of a set of numbers is the smallest positive integer divisible by all of the numbers in the set.

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HCF

The highest common factor (HCF) of a set of numbers is the largest positive integer that divides all of the numbers in the set without leaving a remainder.

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Prime factorization

Expressing a number as a product of its prime factors.

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Find the LCM using prime factorization

To find the LCM, use the prime factors of each number in the set. Take the highest power of each prime factor that appears. Then, multiply these highest powers together.

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Find the HCF using prime factorization

To find the HCF, use the prime factors of each number in the set. Identify the common prime factors and their lowest powers. Then, multiply these common prime factors together.

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