Last updated on May 26th, 2025
The Least common multiple (LCM) is the smallest number that is divisible by the numbers 10 and 15. The LCM can be found using the listing multiples method, the prime factorization and/or division methods. LCM helps to solve problems with fractions and scenarios like scheduling or aligning repeating cycle of events.
There are various methods to find the LCM, Listing method, prime factorization method and division method are explained below;
The LCM of 10 and 15 can be found ascertained using the following steps
Steps:
The prime factors of each number are written, and then the highest power of the prime factors is multiplied to get the LCM.
Steps:
This method involves dividing both numbers by their common prime factors until no further division is possible, and then multiplying the divisors to find the LCM.
Steps:
Multiply the divisors: So, LCM(10,15) = 30
Listed below are a few commonly made mistakes while attempting to ascertain the LCM of 10 and 15, make a note while practicing.
Buses A and B run every 10 days and 15 days respectively. In how many days will they run together again?
LCM(10,15) =30
Both buses will leave the station again on the same day in 30 days, as the LCM of 10 and 15 is 30.
A company has meetings every 10 days and 15 days. If both the conference rooms are booked today, when will they next be booked together ?
LCM(10,15) =30
The conference rooms will be booked on the same day in 30 days again. The LCM expresses the smallest common time interval between the digits.
Warehouse XYZ restocks sugar every 10 days and pulses every 15 days. If both the goods are restocked today, when will they next be restocked?
LCM(10,15) =30
Sugar and pulses will be restocked in 30 days, the LCM of 10 and 15 is 30. The LCM expresses the smallest common time interval between the digits.
The sprinkler watering system waters every 10 days and the drip watering system waters every 15 days. On which day do they have to be turned on together?
LCM(10,15) =30
Both the watering systems have to be turned on together in 30 days. The LCM expresses the smallest common time interval between the digits.
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
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