Calculators & Converters

    20 and 140 LCM

    LCM - Least Common Multiple Calculator

    LCM of 20 and 140 is equal to 140. The comprehensive work provides more insight of how to find what is the lcm of 20 and 140 by using prime factors and special division methods, and the example use case of mathematics and real world problems.

    what is the lcm of 20 and 140?
    lcm (20   140) = (?)
    20 => 2 x 2 x 5
    140 => 2 x 2 x 5 x 7

    = 2 x 2 x 5 x 7
    = 140
    lcm (20 and 140) = 140
    140 is the lcm of 20 and 140.

    where,
    20 is a positive integer,
    140 is a positive integer,
    140 is the lcm of 20 and 140,
    {2 x 2 x 5} in {2 x 2 x 5, 2 x 2 x 5 x 7} are the common factors of 20 and 140,
    {7} in {2 x 2 x 5, 2 x 2 x 5 x 7} is the uncommon factors of 20 and 140.

    Use in Mathematics: LCM of 20 and 140
    The below are some of the mathematical applications where lcm of 20 and 140 can be used:

    1. to find the least number which is exactly divisible by 20 and 140.
    2. to find the common denominator for two fractions having 20 and 140 as denominators in the unlike fractions addition or subtraction.
    Use in Real-world Problems: 20 and 140 lcm
    In the context of lcm real world problems, the lcm of 20 and 140 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 20 seconds and bell B tolls at 140 seconds repeatedly. The answer is that all bells A and B toll together at 140 seconds for the first time, at 280 seconds for the second time, at 420 seconds for the third time and so on.

    Important Notes: 20 and 140 lcm
    The below are the important notes to be remembered while solving the lcm of 20 and 140:
    1. The common prime factors and the remaining prime factors of 20 and 140 should be multiplied to find the least common multiple of 20 and 140, when solving lcm by using prime factors method.
    2. The results of lcm of 20 and 140, and the lcm of 140 and 20 are identical, it means the order of given numbers in the lcm calculation doesn't affect the results.
    For values other than 20 and 140, use this below tool:

    How-to: What is the LCM of 20 and 140?

    The below solved example with step by step work shows how to find what is the lcm of 20 and 140 by using prime factors method and division method.

    Solved example using prime factors method:
    What is the LCM of 20 and 140?

    step 1 Address the input parameters, values and observe what to be found:
    Input parameters and values:
    A = 20
    B = 140

    What to be found:
    find the lcm of 20 and 140

    step 2 Find the prime factors of 20 and 140:
    Prime factors of 20 = 2 x 2 x 5
    Prime factors of 140 = 2 x 2 x 5 x 7

    step 3 Identify the repeated and non-repeated prime factors of 20 and 140:
    {2, 2, 5} are the most repeated factors and {7} is the non-repeated factor of 20 and 140.

    step 4 Find the product of repeated and non-repeated prime factors of 20 and 140:
    = 2 x 2 x 5 x 7
    = 140
    lcm(20 and 140) = 140

    Hence,
    lcm of 20 and 140 is 140


    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 20 and 140.

    step 1 Address the input parameters, values and observe what to be found:
    Input parameters and values:
    Integers: 20 and 140

    What to be found:
    lcm (20, 140) = ?

    step 2 Arrange the given integers in the horizontal form with space or comma separated format:
    20 and 140

    step 3 Choose the divisor which divides each or most of the given integers (20 and 140), 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 20 and 140 is not divisible by the selected divisor; repeat the same process until all the integers are brought to 1 as like below:

    220140
    21070
    5535
    717
    11

    step 4 Multiply the divisors to find the lcm of 20 and 140:
    = 2 x 2 x 5 x 7
    = 140
    LCM(20, 140) = 140

    The least common multiple for two numbers 20 and 140 is 140
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