Find Lcm Of 5 And 7 In 5 Easy Steps

Quick Links :

Finding the Least Common Multiple (LCM) of two numbers is a straightforward process that can be completed in a few easy steps. Here's how to find the LCM of 5 and 7:

Step 1: List the Multiples of Each Number

To find the LCM of 5 and 7, start by listing the multiples of each number.

Multiples of 5: 5, 10, 15, 20, 25, 30, 35,...

Multiples of 7: 7, 14, 21, 28, 35,...

Step 2: Identify the Common Multiples

Next, identify the multiples that are common to both lists. In this case, the first common multiple is 35.

Step 3: Verify the LCM

To verify that 35 is indeed the LCM, check if it is the smallest number that appears in both lists. In this case, 35 is the smallest number that is a multiple of both 5 and 7.

Step 4: Check for Other Common Multiples

To confirm that 35 is the LCM, check if there are any other common multiples that are smaller. In this case, there are no other common multiples smaller than 35.

Step 5: Confirm the LCM

After verifying that 35 is the smallest common multiple of 5 and 7, confirm that it is indeed the LCM.

Therefore, the LCM of 5 and 7 is 35.

Benefits of Finding LCM

Finding the LCM of two numbers has several benefits, including:

• Simplifying fractions: When adding or subtracting fractions, finding the LCM of the denominators can help simplify the calculation.
• Comparing sizes: LCM can be used to compare the sizes of different objects or quantities.
• Scheduling: LCM can be used to schedule events or tasks that occur at regular intervals.

Real-World Applications of LCM

LCM has several real-world applications, including:

• Music: Musicians use LCM to determine the rhythm and timing of different notes and beats.
• Cooking: Chefs use LCM to determine the cooking time and temperature for different ingredients.
• Finance: LCM is used in finance to determine the interest rates and repayment schedules for loans.

FAQs