Calculators & Converters

    35, 49 and 56 LCM

    LCM - Least Common Multiple Calculator

    LCM of 35, 49 and 56 is equal to 1960. The comprehensive work provides more insight of how to find what is the lcm of 35, 49 and 56 by using prime factors and special division methods, and the example use case of mathematics and real world problems.

    what is the lcm of 35, 49 and 56?
    lcm (35   49   56) = (?)
    35 => 5 x 7
    49 => 7 x 7
    56 => 2 x 2 x 2 x 7

    = 7 x 5 x 7 x 2 x 2 x 2
    = 1960
    lcm (35, 49 and 56) = 1960
    1960 is the lcm of 35, 49 and 56.

    where,
    35 is a positive integer,
    49 is a positive integer,
    1960 is the lcm of 35, 49 and 56,
    {7} in {5 x 7, 7 x 7, 2 x 2 x 2 x 7} is the most repeated factors of 35, 49 and 56,
    {5, 7, 2, 2, 2} in {5 x 7, 7 x 7, 2 x 2 x 2 x 7} are the the other remaining factors of 35, 49 and 56.

    Use in Mathematics: LCM of 35, 49 and 56
    The below are some of the mathematical applications where lcm of 35, 49 and 56 can be used:

    1. to find the least number which is exactly divisible by 35, 49 and 56.
    2. to find the common denominators for the fractions having 35, 49 and 56 as denominators in the unlike fractions addition or subtraction.
    Use in Real-world Problems: 35, 49 and 56 lcm
    In the context of lcm real world problems, the lcm of 35, 49 and 56 helps to find the exact time when three similar and recurring 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 all the bells A, B and C toll together, if bell A tolls at 35 seconds, B tolls at 49 seconds and C tolls at 56 seconds repeatedly. The answer is that all bells A, B and C toll together at 1960 seconds for the first time, at 3920 seconds for the second time, at 5880 seconds for the third time and so on.

    Important Notes: 35, 49 and 56 lcm
    The below are the important notes to be remembered while solving the lcm of 35, 49 and 56:
    1. The repeated and non-repeated prime factors of 35, 49 and 56 should be multiplied to find the least common multiple of 35, 49 and 56, when solving lcm by using prime factors method.
    2. The results of lcm of 35, 49 and 56 is identical even if we change the order of given numbers in the lcm calculation, it means the order of given numbers in the lcm calculation doesn't affect the results.
    For values other than 35, 49 and 56, use this below tool:

    How-to: What is the LCM of 35, 49 and 56?

    The below solved example with step by step work shows how to find what is the lcm of 35, 49 and 56 by using either prime factors method and special division method.

    Solved example using prime factors method:
    What is the LCM of 35, 49 and 56?

    step 1 Address the input parameters, values and observe what to be found:
    Input parameters and values:
    A = 35
    B = 49
    C = 56

    What to be found:
    find the lcm of 35, 49 and 56

    step 2 Find the prime factors of 35, 49 and 56:
    Prime factors of 35 = 5 x 7
    Prime factors of 49 = 7 x 7
    Prime factors of 56 = 2 x 2 x 2 x 7

    step 3 Identify the repeated and non-repeated prime factors of 35, 49 and 56:
    {7} is the most repeated factor and {5, 7, 2, 2, 2} are the non-repeated factors of 35, 49 and 56.

    step 4 Find the product of repeated and non-repeated prime factors of 35, 49 and 56:
    = 7 x 5 x 7 x 2 x 2 x 2
    = 1960
    lcm(20 and 30) = 1960

    Hence,
    lcm of 35, 49 and 56 is 1960


    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 35, 49 and 56.

    step 1 Address the input parameters, values and observe what to be found:
    Input parameters and values:
    Integers: 35, 49 and 56

    What to be found:
    lcm (35, 49, 56) = ?

    step 2 Arrange the given integers in the horizontal form with space or comma separated format:
    35, 49 and 56

    step 3 Choose the divisor which divides each or most of the given integers (35, 49 and 56), 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 35, 49 and 56 is not divisible by the selected divisor; repeat the same process until all the integers are brought to 1 as like below:

    2354956
    2354928
    2354914
    535497
    77497
    7171
    111

    step 4 Multiply the divisors to find the lcm of 35, 49 and 56:
    = 2 x 2 x 2 x 5 x 7 x 7
    = 1960
    LCM(35, 49, 56) = 1960

    The least common multiple for three numbers 35, 49 and 56 is 1960
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