Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 1: Q.13 (page 21)

In the following exercises, find the least common multiple of each pair of numbers using the prime factors method.

8, 12

Short Answer

Expert verified

The least common multiple of 8 and 12 is 24.

Step by step solution

01

Step 1. Given information

The given numbers are 8 and 12.

The least common multiple of the given numbers is to be determined using prime factors.

02

Step 2. Calculating the prime factors

For prime factorization, the given number is to be factored such that all the factors are prime numbers.

8=2·48=2·2·2

The factors are all primes here and cannot be further factored.

12=2·612=2·2·3

The factors are all primes here and cannot be further factored.

03

Step 3. Calculating least common multiple

To determine LCM, the prime factors of both the numbers are to be considered and the factors that are present in both are to be taken whereas the repeated factors are to be taken only once.

LCM=2·2·2·3LCM=24

04

Step 4. Conclusion

Therefore, the least common multiple of 8 and 12 is 24.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Lauren has dimes and nickels in her purse. The number of dimes is three more than seven times the number of nickels. Let n represent the number of nickels. Write an expression for the number of dimes.

In the following exercises, simplify each expression.

52+8·4-72

Evaluate variable expression with fraction,a+ba-bWhena=-4,b=6

Evaluate when x=3 (a)x2 (b)4x (c)3x2+4x+1

In the following exercises, simplify each expression.

32-18÷11-5
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Applied Mathematics

Read Explanation

Discrete Mathematics

Read Explanation

Logic and Functions

Read Explanation

Pure Maths

Read Explanation

Mechanics Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free