Calculators & Converters

    126 and 176 LCM

    LCM - Least Common Multiple Calculator

    LCM of 126 and 176 is equal to 11088. The comprehensive work provides more insight of how to find what is the lcm of 126 and 176 by using prime factors and special division methods, and the example use case of mathematics and real world problems.

    what is the lcm of 126 and 176?
    lcm (126   176) = (?)
    126 => 2 x 3 x 3 x 7
    176 => 2 x 2 x 2 x 2 x 11

    = 2 x 3 x 3 x 7 x 2 x 2 x 2 x 11
    = 11088
    lcm (126 and 176) = 11088
    11088 is the lcm of 126 and 176.

    where,
    126 is a positive integer,
    176 is a positive integer,
    11088 is the lcm of 126 and 176,
    {2} in {2 x 3 x 3 x 7, 2 x 2 x 2 x 2 x 11} is the common factors of 126 and 176,
    {3 x 3 x 7 x 2 x 2 x 2 x 11} in {2 x 3 x 3 x 7, 2 x 2 x 2 x 2 x 11} are the uncommon factors of 126 and 176.

    Use in Mathematics: LCM of 126 and 176
    The below are some of the mathematical applications where lcm of 126 and 176 can be used:

    1. to find the least number which is exactly divisible by 126 and 176.
    2. to find the common denominator for two fractions having 126 and 176 as denominators in the unlike fractions addition or subtraction.
    Use in Real-world Problems: 126 and 176 lcm
    In the context of lcm real world problems, the lcm of 126 and 176 helps to find the exact time when two similar and recurring events 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 the bells A and B all toll together, if bell A tolls at 126 seconds and bell B tolls at 176 seconds repeatedly. The answer is that all bells A and B toll together at 11088 seconds for the first time, at 22176 seconds for the second time, at 33264 seconds for the third time and so on.

    Important Notes: 126 and 176 lcm
    The below are the important notes to be remembered while solving the lcm of 126 and 176:
    1. The common prime factors and the remaining prime factors of 126 and 176 should be multiplied to find the least common multiple of 126 and 176, when solving lcm by using prime factors method.
    2. The results of lcm of 126 and 176, and the lcm of 176 and 126 are identical, it means the order of given numbers in the lcm calculation doesn't affect the results.
    For values other than 126 and 176, use this below tool:

    How-to: What is the LCM of 126 and 176?

    The below solved example with step by step work shows how to find what is the lcm of 126 and 176 by using prime factors method and division method.

    Solved example using prime factors method:
    What is the LCM of 126 and 176?

    step 1 Address the input parameters, values and observe what to be found:
    Input parameters and values:
    A = 126
    B = 176

    What to be found:
    find the lcm of 126 and 176

    step 2 Find the prime factors of 126 and 176:
    Prime factors of 126 = 2 x 3 x 3 x 7
    Prime factors of 176 = 2 x 2 x 2 x 2 x 11

    step 3 Identify the repeated and non-repeated prime factors of 126 and 176:
    {2} is the most repeated factor and {3 x 3 x 7 x 2 x 2 x 2 x 11} are the non-repeated factors of 126 and 176.

    step 4 Find the product of repeated and non-repeated prime factors of 126 and 176:
    = 2 x 3 x 3 x 7 x 2 x 2 x 2 x 11
    = 11088
    lcm(126 and 176) = 11088

    Hence,
    lcm of 126 and 176 is 11088


    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 126 and 176.

    step 1 Address the input parameters, values and observe what to be found:
    Input parameters and values:
    Integers: 126 and 176

    What to be found:
    lcm (126, 176) = ?

    step 2 Arrange the given integers in the horizontal form with space or comma separated format:
    126 and 176

    step 3 Choose the divisor which divides each or most of the given integers (126 and 176), 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 126 and 176 is not divisible by the selected divisor; repeat the same process until all the integers are brought to 1 as like below:

    2126176
    26388
    26344
    26322
    36311
    32111
    7711
    11111
    11

    step 4 Multiply the divisors to find the lcm of 126 and 176:
    = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 11
    = 11088
    LCM(126, 176) = 11088

    The least common multiple for two numbers 126 and 176 is 11088
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