Calculators & Converters

    80 and 85 LCM

    LCM - Least Common Multiple Calculator

    LCM of 80 and 85 is equal to 1360. The comprehensive work provides more insight of how to find what is the lcm of 80 and 85 by using prime factors and special division methods, and the example use case of mathematics and real world problems.

    what is the lcm of 80 and 85?
    lcm (80   85) = (?)
    80 => 2 x 2 x 2 x 2 x 5
    85 => 5 x 17

    = 5 x 2 x 2 x 2 x 2 x 17
    = 1360
    lcm (80 and 85) = 1360
    1360 is the lcm of 80 and 85.

    where,
    80 is a positive integer,
    85 is a positive integer,
    1360 is the lcm of 80 and 85,
    {5} in {2 x 2 x 2 x 2 x 5, 5 x 17} is the common factors of 80 and 85,
    {2 x 2 x 2 x 2 x 17} in {2 x 2 x 2 x 2 x 5, 5 x 17} are the uncommon factors of 80 and 85.

    Use in Mathematics: LCM of 80 and 85
    The below are some of the mathematical applications where lcm of 80 and 85 can be used:

    1. to find the least number which is exactly divisible by 80 and 85.
    2. to find the common denominator for two fractions having 80 and 85 as denominators in the unlike fractions addition or subtraction.
    Use in Real-world Problems: 80 and 85 lcm
    In the context of lcm real world problems, the lcm of 80 and 85 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 80 seconds and bell B tolls at 85 seconds repeatedly. The answer is that all bells A and B toll together at 1360 seconds for the first time, at 2720 seconds for the second time, at 4080 seconds for the third time and so on.

    Important Notes: 80 and 85 lcm
    The below are the important notes to be remembered while solving the lcm of 80 and 85:
    1. The common prime factors and the remaining prime factors of 80 and 85 should be multiplied to find the least common multiple of 80 and 85, when solving lcm by using prime factors method.
    2. The results of lcm of 80 and 85, and the lcm of 85 and 80 are identical, it means the order of given numbers in the lcm calculation doesn't affect the results.
    For values other than 80 and 85, use this below tool:

    How-to: What is the LCM of 80 and 85?

    The below solved example with step by step work shows how to find what is the lcm of 80 and 85 by using prime factors method and division method.

    Solved example using prime factors method:
    What is the LCM of 80 and 85?

    step 1 Address the input parameters, values and observe what to be found:
    Input parameters and values:
    A = 80
    B = 85

    What to be found:
    find the lcm of 80 and 85

    step 2 Find the prime factors of 80 and 85:
    Prime factors of 80 = 2 x 2 x 2 x 2 x 5
    Prime factors of 85 = 5 x 17

    step 3 Identify the repeated and non-repeated prime factors of 80 and 85:
    {5} is the most repeated factor and {2 x 2 x 2 x 2 x 17} are the non-repeated factors of 80 and 85.

    step 4 Find the product of repeated and non-repeated prime factors of 80 and 85:
    = 5 x 2 x 2 x 2 x 2 x 17
    = 1360
    lcm(80 and 85) = 1360

    Hence,
    lcm of 80 and 85 is 1360


    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 80 and 85.

    step 1 Address the input parameters, values and observe what to be found:
    Input parameters and values:
    Integers: 80 and 85

    What to be found:
    lcm (80, 85) = ?

    step 2 Arrange the given integers in the horizontal form with space or comma separated format:
    80 and 85

    step 3 Choose the divisor which divides each or most of the given integers (80 and 85), 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 80 and 85 is not divisible by the selected divisor; repeat the same process until all the integers are brought to 1 as like below:

    28085
    24085
    22085
    21085
    5585
    17117
    11

    step 4 Multiply the divisors to find the lcm of 80 and 85:
    = 2 x 2 x 2 x 2 x 5 x 17
    = 1360
    LCM(80, 85) = 1360

    The least common multiple for two numbers 80 and 85 is 1360
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