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    which common multiple of 4 and 5 is also a multiple of 15

    0  Views: 328 Answers: 3 Posted: 7 years ago

    3 Answers

    60

    Your easiest way to determine is to list multiples of 15, as that is the largest of the three. You know 5 will work in all of THOSE because 15 is a multiple of 5. Since 4 is an even number, only the even numbered multiples of 15 may also be a multiple of  4


    15, 30 (7 × 4 = 28, 8 × 4 = 32), 45, 60 (12 × 5, 15 × 4, 4 × 15)

     Find the prime factorization of these integers.


       4                 5                  15


      /  \                /   \                /  \


     2 • 2                  5              3 • 5


     


    4  =  2 • 2  =  2^2


    5   =       5  =   5^1


    15  =  3 • 5  =  3^1 • 5^1


    Starting with the highest exponent value, multiply...................


    2^2 • 5^1 • 3^1


      4  •. 5  •  3  =  60


    LCM  =  60


     

    ROMOS

    That's what I said, I'm good at the old fashioned mental stuff,
    lol :-)


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