Calculators & Converters

    15, 24 and 26 LCM

    LCM - Least Common Multiple Calculator

    LCM of 15, 24 and 26 is equal to 1560. The comprehensive work provides more insight of how to find what is the lcm of 15, 24 and 26 by using prime factors and special division methods, and the example use case of mathematics and real world problems.

    what is the lcm of 15, 24 and 26?
    lcm (15   24   26) = (?)
    15 => 3 x 5
    24 => 2 x 2 x 2 x 3
    26 => 2 x 13

    = 2 x 3 x 5 x 2 x 2 x 13
    = 1560
    lcm (15, 24 and 26) = 1560
    1560 is the lcm of 15, 24 and 26.

    where,
    15 is a positive integer,
    24 is a positive integer,
    1560 is the lcm of 15, 24 and 26,
    {2, 3} in {3 x 5, 2 x 2 x 2 x 3, 2 x 13} are the most repeated factors of 15, 24 and 26,
    {5, 2, 2, 13} in {3 x 5, 2 x 2 x 2 x 3, 2 x 13} are the the other remaining factors of 15, 24 and 26.

    Use in Mathematics: LCM of 15, 24 and 26
    The below are some of the mathematical applications where lcm of 15, 24 and 26 can be used:

    1. to find the least number which is exactly divisible by 15, 24 and 26.
    2. to find the common denominators for the fractions having 15, 24 and 26 as denominators in the unlike fractions addition or subtraction.
    Use in Real-world Problems: 15, 24 and 26 lcm
    In the context of lcm real world problems, the lcm of 15, 24 and 26 helps to find the exact time when three similar and recurring with different time schedule happens together at the same time. For example, the real world problems involve lcm in situations to find at what time all the bells A, B and C toll together, if bell A tolls at 15 seconds, B tolls at 24 seconds and C tolls at 26 seconds repeatedly. The answer is that all bells A, B and C toll together at 1560 seconds for the first time, at 3120 seconds for the second time, at 4680 seconds for the third time and so on.

    Important Notes: 15, 24 and 26 lcm
    The below are the important notes to be remembered while solving the lcm of 15, 24 and 26:
    1. The repeated and non-repeated prime factors of 15, 24 and 26 should be multiplied to find the least common multiple of 15, 24 and 26, when solving lcm by using prime factors method.
    2. The results of lcm of 15, 24 and 26 is identical even if we change the order of given numbers in the lcm calculation, it means the order of given numbers in the lcm calculation doesn't affect the results.
    For values other than 15, 24 and 26, use this below tool:

    How-to: What is the LCM of 15, 24 and 26?

    The below solved example with step by step work shows how to find what is the lcm of 15, 24 and 26 by using either prime factors method and special division method.

    Solved example using prime factors method:
    What is the LCM of 15, 24 and 26?

    step 1 Address the input parameters, values and observe what to be found:
    Input parameters and values:
    A = 15
    B = 24
    C = 26

    What to be found:
    find the lcm of 15, 24 and 26

    step 2 Find the prime factors of 15, 24 and 26:
    Prime factors of 15 = 3 x 5
    Prime factors of 24 = 2 x 2 x 2 x 3
    Prime factors of 26 = 2 x 13

    step 3 Identify the repeated and non-repeated prime factors of 15, 24 and 26:
    {2, 3} are the most repeated factors and {5, 2, 2, 13} are the non-repeated factors of 15, 24 and 26.

    step 4 Find the product of repeated and non-repeated prime factors of 15, 24 and 26:
    = 2 x 3 x 5 x 2 x 2 x 13
    = 1560
    lcm(20 and 30) = 1560

    Hence,
    lcm of 15, 24 and 26 is 1560


    Solved example using special division method:
    This special division method is the easiest way to understand the entire calculation of what is the lcm of 15, 24 and 26.

    step 1 Address the input parameters, values and observe what to be found:
    Input parameters and values:
    Integers: 15, 24 and 26

    What to be found:
    lcm (15, 24, 26) = ?

    step 2 Arrange the given integers in the horizontal form with space or comma separated format:
    15, 24 and 26

    step 3 Choose the divisor which divides each or most of the given integers (15, 24 and 26), divide each integers separately and write down the quotient in the next line right under the respective integers. Bring down the integer to the next line if any integer in 15, 24 and 26 is not divisible by the selected divisor; repeat the same process until all the integers are brought to 1 as like below:

    2152426
    2151213
    215613
    315313
    55113
    131113
    111

    step 4 Multiply the divisors to find the lcm of 15, 24 and 26:
    = 2 x 2 x 2 x 3 x 5 x 13
    = 1560
    LCM(15, 24, 26) = 1560

    The least common multiple for three numbers 15, 24 and 26 is 1560
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