We appreciate your visit to Find the least number which when divided by 24 36 45 and 54 leaves a remainder of 3 in each case. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Final answer:
The least number that leaves a remainder of 3 when divided by 24, 36, 45, and 54 is 360.
Explanation:
To find the least number that leaves a remainder of 3 when divided by 24, 36, 45, and 54, we need to find the least common multiple (LCM) of these numbers.
Step 1: Find the prime factorization of each number: 24 = 2^3 * 3, 36 = 2^2 * 3^2, 45 = 3^2 * 5, and 54 = 2 * 3^3.
Step 2: Take the highest power of each prime factor that appears in any of the numbers. In this case, we need 2^3, 3^3, and 5^1.
Step 3: Multiply these prime factors together: LCM = 2^3 * 3^3 * 5 = 360.
Therefore, the least number that leaves a remainder of 3 when divided by 24, 36, 45, and 54 is 360.
Learn more about Finding the least common multiple (LCM) here:
https://brainly.com/question/17847663
#SPJ11
Thanks for taking the time to read Find the least number which when divided by 24 36 45 and 54 leaves a remainder of 3 in each case. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
