Match each set of numbers with their least common multiple.
2 answers:
Answer:
top down: 200, 288, 44, 84, 504, 108
Step-by-step explanation:
The least common multiple (LCM) can be figured a couple of ways.
a) factor the numbers, then form the product of unique factors (to their highest powers)
b) divide the product of the numbers by their greatest common factor (GCF). Factoring or Euclid's method can be used to find the GCF.
When there are more than two numbers, the LCM can be figured for two of them, then for that result and the next number, and so on.
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25 and 8 have no common factors, so their LCM is their product: 200
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32 and 24 have 8 as their GCF, so their LCM is 32·24/8 = 96. 96 and 18 have 6 as their GCF, so their LCM is 96·18/6 = 288
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22 and 4 have 2 as their GCF, so their LCM is 22·4/2 = 44
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14 and 12 have 2 as their GCF, so their LCM is 14·12/2 = 84
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9, 8, 7 have no common factors, so their LCM is their product: 9·8·7 = 504
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27 and 12 have 3 as their GCF, so their LCM is 27·12/3 = 108. 108 is a multiple of 36, so their LCM is 108.
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