Calculators & Converters

    98 and 147 LCM

    LCM - Least Common Multiple Calculator

    LCM of 98 and 147 is equal to 294. The comprehensive work provides more insight of how to find what is the lcm of 98 and 147 by using prime factors and special division methods, and the example use case of mathematics and real world problems.

    what is the lcm of 98 and 147?
    lcm (98   147) = (?)
    98 => 2 x 7 x 7
    147 => 3 x 7 x 7

    = 7 x 7 x 2 x 3
    = 294
    lcm (98 and 147) = 294
    294 is the lcm of 98 and 147.

    where,
    98 is a positive integer,
    147 is a positive integer,
    294 is the lcm of 98 and 147,
    {7 x 7} in {2 x 7 x 7, 3 x 7 x 7} are the common factors of 98 and 147,
    {2 x 3} in {2 x 7 x 7, 3 x 7 x 7} are the uncommon factors of 98 and 147.

    Use in Mathematics: LCM of 98 and 147
    The below are some of the mathematical applications where lcm of 98 and 147 can be used:

    1. to find the least number which is exactly divisible by 98 and 147.
    2. to find the common denominator for two fractions having 98 and 147 as denominators in the unlike fractions addition or subtraction.
    Use in Real-world Problems: 98 and 147 lcm
    In the context of lcm real world problems, the lcm of 98 and 147 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 98 seconds and bell B tolls at 147 seconds repeatedly. The answer is that all bells A and B toll together at 294 seconds for the first time, at 588 seconds for the second time, at 882 seconds for the third time and so on.

    Important Notes: 98 and 147 lcm
    The below are the important notes to be remembered while solving the lcm of 98 and 147:
    1. The common prime factors and the remaining prime factors of 98 and 147 should be multiplied to find the least common multiple of 98 and 147, when solving lcm by using prime factors method.
    2. The results of lcm of 98 and 147, and the lcm of 147 and 98 are identical, it means the order of given numbers in the lcm calculation doesn't affect the results.
    For values other than 98 and 147, use this below tool:

    How-to: What is the LCM of 98 and 147?

    The below solved example with step by step work shows how to find what is the lcm of 98 and 147 by using prime factors method and division method.

    Solved example using prime factors method:
    What is the LCM of 98 and 147?

    step 1 Address the input parameters, values and observe what to be found:
    Input parameters and values:
    A = 98
    B = 147

    What to be found:
    find the lcm of 98 and 147

    step 2 Find the prime factors of 98 and 147:
    Prime factors of 98 = 2 x 7 x 7
    Prime factors of 147 = 3 x 7 x 7

    step 3 Identify the repeated and non-repeated prime factors of 98 and 147:
    {7, 7} are the most repeated factors and {2 x 3} are the non-repeated factors of 98 and 147.

    step 4 Find the product of repeated and non-repeated prime factors of 98 and 147:
    = 7 x 7 x 2 x 3
    = 294
    lcm(98 and 147) = 294

    Hence,
    lcm of 98 and 147 is 294


    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 98 and 147.

    step 1 Address the input parameters, values and observe what to be found:
    Input parameters and values:
    Integers: 98 and 147

    What to be found:
    lcm (98, 147) = ?

    step 2 Arrange the given integers in the horizontal form with space or comma separated format:
    98 and 147

    step 3 Choose the divisor which divides each or most of the given integers (98 and 147), 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 98 and 147 is not divisible by the selected divisor; repeat the same process until all the integers are brought to 1 as like below:

    298147
    349147
    74949
    777
    11

    step 4 Multiply the divisors to find the lcm of 98 and 147:
    = 2 x 3 x 7 x 7
    = 294
    LCM(98, 147) = 294

    The least common multiple for two numbers 98 and 147 is 294
    getcalc.com Calculators