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Three bells Toll at intervals of 9,12and 15minutes. If they start tolling together, after what time they will next Toll together?
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Three bells Toll at intervals of 9,12and 15minutes. If they start toll...
Analysis:
- The bells toll at intervals of 9, 12, and 15 minutes.
- The time at which all three bells will next toll together needs to be determined.
- The time at which the bells will toll together is known as the LCM (Least Common Multiple) of the intervals of the bells.
Solution:
- The LCM of 9, 12, and 15 can be calculated by finding the prime factors of each number and then taking the highest power of each prime factor present in any of the numbers.
- Prime factors of 9 = 3^2
- Prime factors of 12 = 2^2 * 3
- Prime factors of 15 = 3 * 5
- The LCM = 2^2 * 3^2 * 5 = 180
Conclusion:
- Therefore, the three bells will next toll together after 180 minutes or 3 hours.
- The bells toll at intervals of 9, 12, and 15 minutes.
- The time at which all three bells will next toll together needs to be determined.
- The time at which the bells will toll together is known as the LCM (Least Common Multiple) of the intervals of the bells.
Solution:
- The LCM of 9, 12, and 15 can be calculated by finding the prime factors of each number and then taking the highest power of each prime factor present in any of the numbers.
- Prime factors of 9 = 3^2
- Prime factors of 12 = 2^2 * 3
- Prime factors of 15 = 3 * 5
- The LCM = 2^2 * 3^2 * 5 = 180
Conclusion:
- Therefore, the three bells will next toll together after 180 minutes or 3 hours.
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Three bells Toll at intervals of 9,12and 15minutes. If they start tolling together, after what time they will next Toll together?
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Three bells Toll at intervals of 9,12and 15minutes. If they start tolling together, after what time they will next Toll together? 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 Three bells Toll at intervals of 9,12and 15minutes. If they start tolling together, after what time they will next Toll together? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three bells Toll at intervals of 9,12and 15minutes. If they start tolling together, after what time they will next Toll together?.
Three bells Toll at intervals of 9,12and 15minutes. If they start tolling together, after what time they will next Toll together? 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 Three bells Toll at intervals of 9,12and 15minutes. If they start tolling together, after what time they will next Toll together? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three bells Toll at intervals of 9,12and 15minutes. If they start tolling together, after what time they will next Toll together?.
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