Calculators & Converters

    96 and 160 LCM

    LCM - Least Common Multiple Calculator

    LCM of 96 and 160 is equal to 480. The comprehensive work provides more insight of how to find what is the lcm of 96 and 160 by using prime factors and special division methods, and the example use case of mathematics and real world problems.

    what is the lcm of 96 and 160?
    lcm (96   160) = (?)
    96 => 2 x 2 x 2 x 2 x 2 x 3
    160 => 2 x 2 x 2 x 2 x 2 x 5

    = 2 x 2 x 2 x 2 x 2 x 3 x 5
    = 480
    lcm (96 and 160) = 480
    480 is the lcm of 96 and 160.

    where,
    96 is a positive integer,
    160 is a positive integer,
    480 is the lcm of 96 and 160,
    {2 x 2 x 2 x 2 x 2} in {2 x 2 x 2 x 2 x 2 x 3, 2 x 2 x 2 x 2 x 2 x 5} are the common factors of 96 and 160,
    {3 x 5} in {2 x 2 x 2 x 2 x 2 x 3, 2 x 2 x 2 x 2 x 2 x 5} are the uncommon factors of 96 and 160.

    Use in Mathematics: LCM of 96 and 160
    The below are some of the mathematical applications where lcm of 96 and 160 can be used:

    1. to find the least number which is exactly divisible by 96 and 160.
    2. to find the common denominator for two fractions having 96 and 160 as denominators in the unlike fractions addition or subtraction.
    Use in Real-world Problems: 96 and 160 lcm
    In the context of lcm real world problems, the lcm of 96 and 160 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 96 seconds and bell B tolls at 160 seconds repeatedly. The answer is that all bells A and B toll together at 480 seconds for the first time, at 960 seconds for the second time, at 1440 seconds for the third time and so on.

    Important Notes: 96 and 160 lcm
    The below are the important notes to be remembered while solving the lcm of 96 and 160:
    1. The common prime factors and the remaining prime factors of 96 and 160 should be multiplied to find the least common multiple of 96 and 160, when solving lcm by using prime factors method.
    2. The results of lcm of 96 and 160, and the lcm of 160 and 96 are identical, it means the order of given numbers in the lcm calculation doesn't affect the results.
    For values other than 96 and 160, use this below tool:

    How-to: What is the LCM of 96 and 160?

    The below solved example with step by step work shows how to find what is the lcm of 96 and 160 by using prime factors method and division method.

    Solved example using prime factors method:
    What is the LCM of 96 and 160?

    step 1 Address the input parameters, values and observe what to be found:
    Input parameters and values:
    A = 96
    B = 160

    What to be found:
    find the lcm of 96 and 160

    step 2 Find the prime factors of 96 and 160:
    Prime factors of 96 = 2 x 2 x 2 x 2 x 2 x 3
    Prime factors of 160 = 2 x 2 x 2 x 2 x 2 x 5

    step 3 Identify the repeated and non-repeated prime factors of 96 and 160:
    {2, 2, 2, 2, 2} are the most repeated factors and {3 x 5} are the non-repeated factors of 96 and 160.

    step 4 Find the product of repeated and non-repeated prime factors of 96 and 160:
    = 2 x 2 x 2 x 2 x 2 x 3 x 5
    = 480
    lcm(96 and 160) = 480

    Hence,
    lcm of 96 and 160 is 480


    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 96 and 160.

    step 1 Address the input parameters, values and observe what to be found:
    Input parameters and values:
    Integers: 96 and 160

    What to be found:
    lcm (96, 160) = ?

    step 2 Arrange the given integers in the horizontal form with space or comma separated format:
    96 and 160

    step 3 Choose the divisor which divides each or most of the given integers (96 and 160), 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 96 and 160 is not divisible by the selected divisor; repeat the same process until all the integers are brought to 1 as like below:

    296160
    24880
    22440
    21220
    2610
    335
    515
    11

    step 4 Multiply the divisors to find the lcm of 96 and 160:
    = 2 x 2 x 2 x 2 x 2 x 3 x 5
    = 480
    LCM(96, 160) = 480

    The least common multiple for two numbers 96 and 160 is 480
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