Calculators & Converters

    46, 48 and 50 LCM

    LCM - Least Common Multiple Calculator

    LCM of 46, 48 and 50 is equal to 27600. The comprehensive work provides more insight of how to find what is the lcm of 46, 48 and 50 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, 48 and 50?
    lcm (46   48   50) = (?)
    46 => 2 x 23
    48 => 2 x 2 x 2 x 2 x 3
    50 => 2 x 5 x 5

    = 2 x 23 x 2 x 2 x 2 x 3 x 5 x 5
    = 27600
    lcm (46, 48 and 50) = 27600
    27600 is the lcm of 46, 48 and 50.

    where,
    46 is a positive integer,
    48 is a positive integer,
    27600 is the lcm of 46, 48 and 50,
    {2} in {2 x 23, 2 x 2 x 2 x 2 x 3, 2 x 5 x 5} is the most repeated factors of 46, 48 and 50,
    {23, 2, 2, 2, 3, 5, 5} in {2 x 23, 2 x 2 x 2 x 2 x 3, 2 x 5 x 5} are the the other remaining factors of 46, 48 and 50.

    Use in Mathematics: LCM of 46, 48 and 50
    The below are some of the mathematical applications where lcm of 46, 48 and 50 can be used:

    1. to find the least number which is exactly divisible by 46, 48 and 50.
    2. to find the common denominators for the fractions having 46, 48 and 50 as denominators in the unlike fractions addition or subtraction.
    Use in Real-world Problems: 46, 48 and 50 lcm
    In the context of lcm real world problems, the lcm of 46, 48 and 50 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 48 seconds and C tolls at 50 seconds repeatedly. The answer is that all bells A, B and C toll together at 27600 seconds for the first time, at 55200 seconds for the second time, at 82800 seconds for the third time and so on.

    Important Notes: 46, 48 and 50 lcm
    The below are the important notes to be remembered while solving the lcm of 46, 48 and 50:
    1. The repeated and non-repeated prime factors of 46, 48 and 50 should be multiplied to find the least common multiple of 46, 48 and 50, when solving lcm by using prime factors method.
    2. The results of lcm of 46, 48 and 50 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, 48 and 50, use this below tool:

    How-to: What is the LCM of 46, 48 and 50?

    The below solved example with step by step work shows how to find what is the lcm of 46, 48 and 50 by using either prime factors method and special division method.

    Solved example using prime factors method:
    What is the LCM of 46, 48 and 50?

    step 1 Address the input parameters, values and observe what to be found:
    Input parameters and values:
    A = 46
    B = 48
    C = 50

    What to be found:
    find the lcm of 46, 48 and 50

    step 2 Find the prime factors of 46, 48 and 50:
    Prime factors of 46 = 2 x 23
    Prime factors of 48 = 2 x 2 x 2 x 2 x 3
    Prime factors of 50 = 2 x 5 x 5

    step 3 Identify the repeated and non-repeated prime factors of 46, 48 and 50:
    {2} is the most repeated factor and {23, 2, 2, 2, 3, 5, 5} are the non-repeated factors of 46, 48 and 50.

    step 4 Find the product of repeated and non-repeated prime factors of 46, 48 and 50:
    = 2 x 23 x 2 x 2 x 2 x 3 x 5 x 5
    = 27600
    lcm(20 and 30) = 27600

    Hence,
    lcm of 46, 48 and 50 is 27600


    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, 48 and 50.

    step 1 Address the input parameters, values and observe what to be found:
    Input parameters and values:
    Integers: 46, 48 and 50

    What to be found:
    lcm (46, 48, 50) = ?

    step 2 Arrange the given integers in the horizontal form with space or comma separated format:
    46, 48 and 50

    step 3 Choose the divisor which divides each or most of the given integers (46, 48 and 50), 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, 48 and 50 is not divisible by the selected divisor; repeat the same process until all the integers are brought to 1 as like below:

    2464850
    2232425
    2231225
    223625
    323325
    523125
    52315
    232311
    111

    step 4 Multiply the divisors to find the lcm of 46, 48 and 50:
    = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 23
    = 27600
    LCM(46, 48, 50) = 27600

    The least common multiple for three numbers 46, 48 and 50 is 27600
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