Units of measurement for NEET: Strategy, Formulas & Solved Problems
Direct Takeaway: Comprehensive study guide covering Units of measurement (Physics and Measurement) for NEET. Includes foundational theory, step-by-step examples, practice tips, and 6 FAQs.
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Section Body
To find the least common multiple (LCM) of two numbers, you need to understand the concept of units of measurement. The following strategy and formulas will help you solve problems effectively.
###Problem Statement
Given two numbers, your task is to find their LCM. For instance, consider the problem:
Find the LCM of 12 and 15.
###Solution Strategy
To solve this problem, follow these steps:
1. Write down the given numbers: 12 and 15.
2. Find the prime factors of each number:
* 12 = 2 × 2 × 3
* 15 = 3 × 5
3. Identify the common prime factor(s): 3
4. Multiply the common prime factor(s) by the highest power of the other prime factor(s):
* 2 × 2 (from 12) × 5 (from 15) = 20
Therefore, the LCM of 12 and 15 is 20.
###Formulas and Equations
The formula for finding the LCM of two numbers a and b is:
LCM(a, b) = |a × b| / GCD(a, b)
where GCD(a, b) is the greatest common divisor of a and b.
##Solved Problems
1. Find the LCM of 24 and 30.
2. Find the LCM of 36 and 48.
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