the numbers 176 and 342, written as the products of their prime factors, are 176 = 2 to the power of 4 x 11 and 342 = 2 x 3 square x 19. Hen

Question

the numbers 176 and 342, written as the products of their prime factors, are 176 = 2 to the power of 4 x 11 and 342 = 2 x 3 square x 19. Hence, Find the smallest whole number that is divisible by both 176 and 342

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6 days 2021-09-12T17:25:33+00:00 1 Answer 0 views 0

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    2021-09-12T17:26:34+00:00

    Step-by-step explanation:

    find the least common multiple. start by factoring both nos.

    176=>

    16×11=>

    2^4×11

    342=>

    3×114

    3×3×38

    2×3^2×19

    2^4×3^2×11×19 would be the least common multiple. note what I did. I looked at all the factors for each no. and selected the highest power of each one.

    16×9×11×19

    16×9×209

    (16×209)×9

    16×(200+9)×9

    (16×200+16×9)×9

    (3200+144)×9

    3344×9

    9×(3000+300+40+4)

    27000+2700+360+36

    29700+396

    30096.

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