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The least no. divisible by each of the numbers 15,20,24 and 32 is
a) 960 b) 480 c) 360 d) 640
{Solve it with the cause and it's explanation}?
a) 960 b) 480 c) 360 d) 640
{Solve it with the cause and it's explanation}?
Most Upvoted Answer
The least no. divisible by each of the numbers 15,20,24 and 32 isa) 96...
Explanation:
Finding the Least Common Multiple (LCM)
To find the least number divisible by each of the numbers 15, 20, 24, and 32, we need to calculate the Least Common Multiple (LCM) of these numbers.
Prime Factorization of the Numbers
- 15 = 3 x 5
- 20 = 2 x 2 x 5
- 24 = 2 x 2 x 2 x 3
- 32 = 2 x 2 x 2 x 2 x 2
Calculating the LCM
The LCM is calculated by taking the highest power of each prime factor that appears in any of the numbers.
LCM = 2^4 x 3 x 5 = 16 x 3 x 5 = 240
Therefore, the least number divisible by each of the numbers 15, 20, 24, and 32 is 240.
Options Analysis
- Option a) 960: This number is not the least number divisible by all the given numbers.
- Option b) 480: This number is not the least number divisible by all the given numbers.
- Option c) 360: This number is not the least number divisible by all the given numbers.
- Option d) 640: This number is not the least number divisible by all the given numbers.
Therefore, the correct answer is 240, as it is the least number divisible by each of the numbers 15, 20, 24, and 32.
Finding the Least Common Multiple (LCM)
To find the least number divisible by each of the numbers 15, 20, 24, and 32, we need to calculate the Least Common Multiple (LCM) of these numbers.
Prime Factorization of the Numbers
- 15 = 3 x 5
- 20 = 2 x 2 x 5
- 24 = 2 x 2 x 2 x 3
- 32 = 2 x 2 x 2 x 2 x 2
Calculating the LCM
The LCM is calculated by taking the highest power of each prime factor that appears in any of the numbers.
LCM = 2^4 x 3 x 5 = 16 x 3 x 5 = 240
Therefore, the least number divisible by each of the numbers 15, 20, 24, and 32 is 240.
Options Analysis
- Option a) 960: This number is not the least number divisible by all the given numbers.
- Option b) 480: This number is not the least number divisible by all the given numbers.
- Option c) 360: This number is not the least number divisible by all the given numbers.
- Option d) 640: This number is not the least number divisible by all the given numbers.
Therefore, the correct answer is 240, as it is the least number divisible by each of the numbers 15, 20, 24, and 32.
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The least no. divisible by each of the numbers 15,20,24 and 32 isa) 960 b) 480 c) 360 d) 640{Solve it with the cause and it's explanation}?
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The least no. divisible by each of the numbers 15,20,24 and 32 isa) 960 b) 480 c) 360 d) 640{Solve it with the cause and it's explanation}? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about The least no. divisible by each of the numbers 15,20,24 and 32 isa) 960 b) 480 c) 360 d) 640{Solve it with the cause and it's explanation}? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The least no. divisible by each of the numbers 15,20,24 and 32 isa) 960 b) 480 c) 360 d) 640{Solve it with the cause and it's explanation}?.
The least no. divisible by each of the numbers 15,20,24 and 32 isa) 960 b) 480 c) 360 d) 640{Solve it with the cause and it's explanation}? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about The least no. divisible by each of the numbers 15,20,24 and 32 isa) 960 b) 480 c) 360 d) 640{Solve it with the cause and it's explanation}? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The least no. divisible by each of the numbers 15,20,24 and 32 isa) 960 b) 480 c) 360 d) 640{Solve it with the cause and it's explanation}?.
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