Class 10 Exam > Class 10 Questions > What is least possible number which when divi...
Start Learning for Free
What is least possible number which when divided by 24,32,or 42 in each case it leaves the remainder 5?
Most Upvoted Answer
What is least possible number which when divided by 24,32,or 42 in eac...
For least number first we take lcm of 24 , 32, and 42
24= 2^3*3
32=2^5
42=2*3*7
thus lcm is 672 but it leaves remainder 5 when divided by 24,32 or 42 so number is 677
24= 2^3*3
32=2^5
42=2*3*7
thus lcm is 672 but it leaves remainder 5 when divided by 24,32 or 42 so number is 677
Community Answer
What is least possible number which when divided by 24,32,or 42 in eac...
Least Possible Number with Remainder 5
To find the least possible number that leaves a remainder of 5 when divided by 24, 32, and 42, we need to find the least common multiple of these numbers.
Finding the Least Common Multiple (LCM)
- The LCM of 24, 32, and 42 can be calculated by finding the prime factorization of each number.
- Prime factorization of 24: 2 x 2 x 2 x 3
- Prime factorization of 32: 2 x 2 x 2 x 2 x 2
- Prime factorization of 42: 2 x 3 x 7
- LCM = 2 x 2 x 2 x 2 x 2 x 3 x 7 = 672
Adding Remainder 5
- To find the number that leaves a remainder of 5 when divided by 24, 32, and 42, we need to add 5 to the LCM.
- Number = LCM + 5 = 672 + 5 = 677
Therefore, the least possible number that leaves a remainder of 5 when divided by 24, 32, and 42 is 677.
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
|
Explore Courses for Class 10 exam
|
|
Similar Class 10 Doubts
Top Courses for Class 10View all
What is least possible number which when divided by 24,32,or 42 in each case it leaves the remainder 5?
Question Description
What is least possible number which when divided by 24,32,or 42 in each case it leaves the remainder 5? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about What is least possible number which when divided by 24,32,or 42 in each case it leaves the remainder 5? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is least possible number which when divided by 24,32,or 42 in each case it leaves the remainder 5?.
What is least possible number which when divided by 24,32,or 42 in each case it leaves the remainder 5? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about What is least possible number which when divided by 24,32,or 42 in each case it leaves the remainder 5? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is least possible number which when divided by 24,32,or 42 in each case it leaves the remainder 5?.
Solutions for What is least possible number which when divided by 24,32,or 42 in each case it leaves the remainder 5? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of What is least possible number which when divided by 24,32,or 42 in each case it leaves the remainder 5? defined & explained in the simplest way possible. Besides giving the explanation of
What is least possible number which when divided by 24,32,or 42 in each case it leaves the remainder 5?, a detailed solution for What is least possible number which when divided by 24,32,or 42 in each case it leaves the remainder 5? has been provided alongside types of What is least possible number which when divided by 24,32,or 42 in each case it leaves the remainder 5? theory, EduRev gives you an
ample number of questions to practice What is least possible number which when divided by 24,32,or 42 in each case it leaves the remainder 5? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup