Calculators & Converters

    65 and 90 LCM

    LCM - Least Common Multiple Calculator

    LCM of 65 and 90 is equal to 1170. The comprehensive work provides more insight of how to find what is the lcm of 65 and 90 by using prime factors and special division methods, and the example use case of mathematics and real world problems.

    what is the lcm of 65 and 90?
    lcm (65   90) = (?)
    65 => 5 x 13
    90 => 2 x 3 x 3 x 5

    = 5 x 13 x 2 x 3 x 3
    = 1170
    lcm (65 and 90) = 1170
    1170 is the lcm of 65 and 90.

    where,
    65 is a positive integer,
    90 is a positive integer,
    1170 is the lcm of 65 and 90,
    {5} in {5 x 13, 2 x 3 x 3 x 5} is the common factors of 65 and 90,
    {13 x 2 x 3 x 3} in {5 x 13, 2 x 3 x 3 x 5} are the uncommon factors of 65 and 90.

    Use in Mathematics: LCM of 65 and 90
    The below are some of the mathematical applications where lcm of 65 and 90 can be used:

    1. to find the least number which is exactly divisible by 65 and 90.
    2. to find the common denominator for two fractions having 65 and 90 as denominators in the unlike fractions addition or subtraction.
    Use in Real-world Problems: 65 and 90 lcm
    In the context of lcm real world problems, the lcm of 65 and 90 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 65 seconds and bell B tolls at 90 seconds repeatedly. The answer is that all bells A and B toll together at 1170 seconds for the first time, at 2340 seconds for the second time, at 3510 seconds for the third time and so on.

    Important Notes: 65 and 90 lcm
    The below are the important notes to be remembered while solving the lcm of 65 and 90:
    1. The common prime factors and the remaining prime factors of 65 and 90 should be multiplied to find the least common multiple of 65 and 90, when solving lcm by using prime factors method.
    2. The results of lcm of 65 and 90, and the lcm of 90 and 65 are identical, it means the order of given numbers in the lcm calculation doesn't affect the results.
    For values other than 65 and 90, use this below tool:

    How-to: What is the LCM of 65 and 90?

    The below solved example with step by step work shows how to find what is the lcm of 65 and 90 by using prime factors method and division method.

    Solved example using prime factors method:
    What is the LCM of 65 and 90?

    step 1 Address the input parameters, values and observe what to be found:
    Input parameters and values:
    A = 65
    B = 90

    What to be found:
    find the lcm of 65 and 90

    step 2 Find the prime factors of 65 and 90:
    Prime factors of 65 = 5 x 13
    Prime factors of 90 = 2 x 3 x 3 x 5

    step 3 Identify the repeated and non-repeated prime factors of 65 and 90:
    {5} is the most repeated factor and {13 x 2 x 3 x 3} are the non-repeated factors of 65 and 90.

    step 4 Find the product of repeated and non-repeated prime factors of 65 and 90:
    = 5 x 13 x 2 x 3 x 3
    = 1170
    lcm(65 and 90) = 1170

    Hence,
    lcm of 65 and 90 is 1170


    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 65 and 90.

    step 1 Address the input parameters, values and observe what to be found:
    Input parameters and values:
    Integers: 65 and 90

    What to be found:
    lcm (65, 90) = ?

    step 2 Arrange the given integers in the horizontal form with space or comma separated format:
    65 and 90

    step 3 Choose the divisor which divides each or most of the given integers (65 and 90), 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 65 and 90 is not divisible by the selected divisor; repeat the same process until all the integers are brought to 1 as like below:

    26590
    36545
    36515
    5655
    13131
    11

    step 4 Multiply the divisors to find the lcm of 65 and 90:
    = 2 x 3 x 3 x 5 x 13
    = 1170
    LCM(65, 90) = 1170

    The least common multiple for two numbers 65 and 90 is 1170
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