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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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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