Calculators & Converters

    46, 64 and 82 LCM

    LCM - Least Common Multiple Calculator

    LCM of 46, 64 and 82 is equal to 60352. The comprehensive work provides more insight of how to find what is the lcm of 46, 64 and 82 by using prime factors and special division methods, and the example use case of mathematics and real world problems.

    what is the lcm of 46, 64 and 82?
    lcm (46   64   82) = (?)
    46 => 2 x 23
    64 => 2 x 2 x 2 x 2 x 2 x 2
    82 => 2 x 41

    = 2 x 23 x 2 x 2 x 2 x 2 x 2 x 41
    = 60352
    lcm (46, 64 and 82) = 60352
    60352 is the lcm of 46, 64 and 82.

    where,
    46 is a positive integer,
    64 is a positive integer,
    60352 is the lcm of 46, 64 and 82,
    {2} in {2 x 23, 2 x 2 x 2 x 2 x 2 x 2, 2 x 41} is the most repeated factors of 46, 64 and 82,
    {23, 2, 2, 2, 2, 2, 41} in {2 x 23, 2 x 2 x 2 x 2 x 2 x 2, 2 x 41} are the the other remaining factors of 46, 64 and 82.

    Use in Mathematics: LCM of 46, 64 and 82
    The below are some of the mathematical applications where lcm of 46, 64 and 82 can be used:

    1. to find the least number which is exactly divisible by 46, 64 and 82.
    2. to find the common denominators for the fractions having 46, 64 and 82 as denominators in the unlike fractions addition or subtraction.
    Use in Real-world Problems: 46, 64 and 82 lcm
    In the context of lcm real world problems, the lcm of 46, 64 and 82 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 46 seconds, B tolls at 64 seconds and C tolls at 82 seconds repeatedly. The answer is that all bells A, B and C toll together at 60352 seconds for the first time, at 120704 seconds for the second time, at 181056 seconds for the third time and so on.

    Important Notes: 46, 64 and 82 lcm
    The below are the important notes to be remembered while solving the lcm of 46, 64 and 82:
    1. The repeated and non-repeated prime factors of 46, 64 and 82 should be multiplied to find the least common multiple of 46, 64 and 82, when solving lcm by using prime factors method.
    2. The results of lcm of 46, 64 and 82 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 46, 64 and 82, use this below tool:

    How-to: What is the LCM of 46, 64 and 82?

    The below solved example with step by step work shows how to find what is the lcm of 46, 64 and 82 by using either prime factors method and special division method.

    Solved example using prime factors method:
    What is the LCM of 46, 64 and 82?

    step 1 Address the input parameters, values and observe what to be found:
    Input parameters and values:
    A = 46
    B = 64
    C = 82

    What to be found:
    find the lcm of 46, 64 and 82

    step 2 Find the prime factors of 46, 64 and 82:
    Prime factors of 46 = 2 x 23
    Prime factors of 64 = 2 x 2 x 2 x 2 x 2 x 2
    Prime factors of 82 = 2 x 41

    step 3 Identify the repeated and non-repeated prime factors of 46, 64 and 82:
    {2} is the most repeated factor and {23, 2, 2, 2, 2, 2, 41} are the non-repeated factors of 46, 64 and 82.

    step 4 Find the product of repeated and non-repeated prime factors of 46, 64 and 82:
    = 2 x 23 x 2 x 2 x 2 x 2 x 2 x 41
    = 60352
    lcm(20 and 30) = 60352

    Hence,
    lcm of 46, 64 and 82 is 60352


    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 46, 64 and 82.

    step 1 Address the input parameters, values and observe what to be found:
    Input parameters and values:
    Integers: 46, 64 and 82

    What to be found:
    lcm (46, 64, 82) = ?

    step 2 Arrange the given integers in the horizontal form with space or comma separated format:
    46, 64 and 82

    step 3 Choose the divisor which divides each or most of the given integers (46, 64 and 82), 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 46, 64 and 82 is not divisible by the selected divisor; repeat the same process until all the integers are brought to 1 as like below:

    2466482
    2233241
    2231641
    223841
    223441
    223241
    2323141
    411141
    111

    step 4 Multiply the divisors to find the lcm of 46, 64 and 82:
    = 2 x 2 x 2 x 2 x 2 x 2 x 23 x 41
    = 60352
    LCM(46, 64, 82) = 60352

    The least common multiple for three numbers 46, 64 and 82 is 60352
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