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⠀⠀☞ O MMC destes números é 840. ✅
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⠀⠀ O menor número que tem {1, 2, 3, 4, 5, 6, 7, 8} como fatores é o Mínimo Múltiplo Comum (M.M.C.) de 1, 2, 3, 4, 5, 6, 7 e 8. Temos que através de uma fatoração conjunta deles identificamos seu MMC:
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[tex]\large\boxed{\sf\blue{\begin{array}{cc|cl}&&&\sf\underline{~F~}\\&&&\\(1, 2, 3, 4, 5, 6, 7, 8)&&&2\\&&&\\(1, 1, 3, 2, 5, 3, 7, 4)&&&2\\&&&\\(1, 1, 3, 1, 5, 3, 7, 2)&&&2\\&&&\\(1, 1, 3, 1, 5, 3, 7, 1)&&&3\\&&&\\(1, 1, 1, 1, 5, 1, 7, 1)&&&5\\&&&\\(1, 1, 1, 1, 1, 1, 7, 1)&&&7\\&&&\\(1, 1, 1, 1, 1, 1, 1, 1)&&&\\\end{array}}}[/tex]
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[tex]\large\blue{\text{$\sf Fat(1, 2, 3, 4, 5, 6, 7, 8) = 2^3 \cdot 3 \cdot 5 \cdot 7$}}[/tex]
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[tex]\LARGE\blue{\text{$\sf = 8 \cdot 3 \cdot 5 \cdot 7$}}[/tex]
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[tex]\LARGE\blue{\text{$\sf = 840$}}[/tex]
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⠀⠀Confirmando portanto:
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[tex]\large\blue{\Large\text{$\sf~840~$}\begin{cases}\text{$\sf~ = 1 \cdot 840$}\\\\ \text{$\sf~ = 2 \cdot 420$}\\\\ \text{$\sf~ = 3 \cdot 280$}\\\\ \text{$\sf~ = 4 \cdot 210$}\\\\ \text{$\sf~ = 5 \cdot 168$}\\\\ \text{$\sf~ = 6 \cdot 140$}\\\\ \text{$\sf~ = 7 \cdot 120$}\\\\ \text{$\sf~ = 8 \cdot 105$} \end{cases}}[/tex]
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[tex]\Huge\green{\boxed{\rm~~~\blue{ 840 }~~~}}[/tex] ✅
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[tex]\bf\large\red{\underline{\quad\quad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}[/tex]
⠀⠀☀️ Leia mais sobre MMC e MDC:
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✈ https://brainly.com.br/tarefa/38299506
✈ https://brainly.com.br/tarefa/36834942
[tex]\bf\large\red{\underline{\quad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\quad}}[/tex]✍
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[tex]\bf\large\red{\underline{\quad\quad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}[/tex]☁
⠀⠀⠀⠀☕ [tex]\Large\blue{\text{\bf Bons~estudos.}}[/tex]
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([tex]\orange{D\acute{u}vidas\ nos\ coment\acute{a}rios}[/tex]) ☄
[tex]\bf\large\red{\underline{\qquad \qquad \qquad \qquad \qquad \qquad \quad }}\LaTeX[/tex]✍
❄☃ [tex]\sf(\purple{+}~\red{cores}~\blue{com}~\pink{o}~\orange{App}~\green{Brainly})[/tex] ☘☀
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[tex]\gray{"Absque~sudore~et~labore~nullum~opus~perfectum~est."}[/tex]
