Question : The LCM of 96, 132, and 438 is:
Option 1: 86084
Option 2: 67055
Option 3: 85046
Option 4: 77088

Question

Question : The LCM of two multiples of 12 is 1056. If one of the numbers is 132, the other number is:

27 Views

Answer 1

Correct Answer: 77088

Solution : The prime factorization of the given numbers is:
$96 = 2^{5} \times 3$
$132 = 2^{2} \times 3^{1} \times 11^{1}$
$438 = 2^{1} \times 3^{1} \times 73^{1}$
Now, identify the highest powers of each prime factor:
It is $2^{5}$ , $3^{1}$ , $11^{1}$ , and $73^{1}$
Multiply these highest powers to find the LCM:
$LCM of (96, 132, 438) = 2^{5} \times 3^{1} \times 11^{1} \times 73^{1} = 77088$
Hence, the correct answer is 77088.

Exams

Colleges

Predictors

Resources

Quick links

Exams

Colleges & Courses

Predictors

Resources

Exams

Colleges

Predictors & E-Books

Resources

Engineering Preparation

Medical Preparation

Online Courses

Products

Exams

Colleges

Resources

Exams

Colleges

Predictors & Articles

Resources

Exams

Colleges

Predictors

Resources

Exams

Colleges

Upcoming Events

Resources

Exams

Colleges

Resources

Quick Links

Top Streams

Specializations

Resources

Top Providers

Exams

Colleges

Resources

Diploma Colleges

Exams

Colleges

Resources

Exams

Resources

Top Courses & Careers

Colleges

Exams

Upcoming Events

Resources

Other Exams

Exams

Colleges

Top Countries

Student Visas

Exams

Top Schools

Products & Resources

NCERT Study Material

Question : The LCM of 96, 132, and 438 is:Option 1: 86084Option 2: 67055Option 3: 85046Option 4: 77088

Related Questions

Know More about

Upcoming Exams

Trending Articles around SSC CPO

Download the Careers360 App on your Android phone

Sign In/Sign Up

Question : The LCM of 96, 132, and 438 is:
Option 1: 86084
Option 2: 67055
Option 3: 85046
Option 4: 77088