Calculators & Converters

    178 and 180 LCM

    LCM - Least Common Multiple Calculator

    LCM of 178 and 180 is equal to 16020. The comprehensive work provides more insight of how to find what is the lcm of 178 and 180 by using prime factors and special division methods, and the example use case of mathematics and real world problems.

    what is the lcm of 178 and 180?
    lcm (178   180) = (?)
    178 => 2 x 89
    180 => 2 x 2 x 3 x 3 x 5

    = 2 x 89 x 2 x 3 x 3 x 5
    = 16020
    lcm (178 and 180) = 16020
    16020 is the lcm of 178 and 180.

    where,
    178 is a positive integer,
    180 is a positive integer,
    16020 is the lcm of 178 and 180,
    {2} in {2 x 89, 2 x 2 x 3 x 3 x 5} is the common factors of 178 and 180,
    {89 x 2 x 3 x 3 x 5} in {2 x 89, 2 x 2 x 3 x 3 x 5} are the uncommon factors of 178 and 180.

    Use in Mathematics: LCM of 178 and 180
    The below are some of the mathematical applications where lcm of 178 and 180 can be used:

    1. to find the least number which is exactly divisible by 178 and 180.
    2. to find the common denominator for two fractions having 178 and 180 as denominators in the unlike fractions addition or subtraction.
    Use in Real-world Problems: 178 and 180 lcm
    In the context of lcm real world problems, the lcm of 178 and 180 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 178 seconds and bell B tolls at 180 seconds repeatedly. The answer is that all bells A and B toll together at 16020 seconds for the first time, at 32040 seconds for the second time, at 48060 seconds for the third time and so on.

    Important Notes: 178 and 180 lcm
    The below are the important notes to be remembered while solving the lcm of 178 and 180:
    1. The common prime factors and the remaining prime factors of 178 and 180 should be multiplied to find the least common multiple of 178 and 180, when solving lcm by using prime factors method.
    2. The results of lcm of 178 and 180, and the lcm of 180 and 178 are identical, it means the order of given numbers in the lcm calculation doesn't affect the results.
    For values other than 178 and 180, use this below tool:

    How-to: What is the LCM of 178 and 180?

    The below solved example with step by step work shows how to find what is the lcm of 178 and 180 by using prime factors method and division method.

    Solved example using prime factors method:
    What is the LCM of 178 and 180?

    step 1 Address the input parameters, values and observe what to be found:
    Input parameters and values:
    A = 178
    B = 180

    What to be found:
    find the lcm of 178 and 180

    step 2 Find the prime factors of 178 and 180:
    Prime factors of 178 = 2 x 89
    Prime factors of 180 = 2 x 2 x 3 x 3 x 5

    step 3 Identify the repeated and non-repeated prime factors of 178 and 180:
    {2} is the most repeated factor and {89 x 2 x 3 x 3 x 5} are the non-repeated factors of 178 and 180.

    step 4 Find the product of repeated and non-repeated prime factors of 178 and 180:
    = 2 x 89 x 2 x 3 x 3 x 5
    = 16020
    lcm(178 and 180) = 16020

    Hence,
    lcm of 178 and 180 is 16020


    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 178 and 180.

    step 1 Address the input parameters, values and observe what to be found:
    Input parameters and values:
    Integers: 178 and 180

    What to be found:
    lcm (178, 180) = ?

    step 2 Arrange the given integers in the horizontal form with space or comma separated format:
    178 and 180

    step 3 Choose the divisor which divides each or most of the given integers (178 and 180), 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 178 and 180 is not divisible by the selected divisor; repeat the same process until all the integers are brought to 1 as like below:

    2178180
    28990
    38945
    38915
    5895
    89891
    11

    step 4 Multiply the divisors to find the lcm of 178 and 180:
    = 2 x 2 x 3 x 3 x 5 x 89
    = 16020
    LCM(178, 180) = 16020

    The least common multiple for two numbers 178 and 180 is 16020
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