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Question Number 32211 by mondodotto@gmail.com last updated on 21/Mar/18

Commented by mondodotto@gmail.com last updated on 21/Mar/18

$$\mathrm{help}$$

Answered by MJS last updated on 21/Mar/18

$$lcm(3,6,8)=24$$$$3days=4320minutes$$$$4320/24=180times$$

Commented by mondodotto@gmail.com last updated on 21/Mar/18

$$\mathrm{more}\mathrm{explaination}\mathrm{please}$$

Commented by mondodotto@gmail.com last updated on 21/Mar/18

$$\mathrm{how}\mathit{l}\mathit{c}\mathit{m}24?$$

Commented by MJS last updated on 21/Mar/18

$$1^{st}bell$$$$08162432...$$$$2^{nd}bell$$$$0612182430...$$$$3^{rd}bell$$$$0369121518212427...$$

Commented by mondodotto@gmail.com last updated on 22/Mar/18

$$\mathrm{thanks}\mathrm{now}\mathrm{i}\mathrm{understand},\mathrm{but}\mathrm{why}\mathit{l}\mathit{c}\mathit{m}\mathbf{is}24\mathbf{instead}\mathbf{of}48?$$

Commented by Joel578 last updated on 22/Mar/18

$$\mathrm{LCM}=\mathrm{Least}\mathrm{Common}\mathrm{Multiple}$$$$\Rightarrow \mathrm{smallest}\mathrm{common}\mathrm{multiple}\mathrm{of}2\mathrm{or}\mathrm{more}\mathrm{integers}$$

Commented by MJS last updated on 22/Mar/18

$$8=2\times 2\times 2=2^3$$$$6=2\times 3=2^1\times 3^1$$$$3=3^1$$$$\mathrm{for}\mathrm{the}lcm\mathrm{you}\mathrm{need}\mathrm{all}\mathrm{prime}$$$$\mathrm{factors}\mathrm{of}\mathrm{the}\mathrm{highest}\mathrm{power},$$$$\mathrm{in}\mathrm{this}\mathrm{case}{2}^3\times 3^1=24$$$$\mathrm{example}:lcm(42,45,48)=5040$$$$42=2^1\times 3^1\times 7^1$$$$45=3^2\times 5^1$$$$48=2^4\times 3^1$$$$2^4\times 3^2\times 5^1\times 7^1=5040$$$$$$$$lcm\mathrm{of}\mathrm{prime}\mathrm{numbers}{p}_1,p_2...p_n=$$$$=p_1\times p_2\times ...\times p_n$$$$lcm(a,b)\mathrm{with}a\mid b\mathrm{is}b$$$$\mathrm{i}.\mathrm{e}.:lcm(7,21)=21;lcm(2,6,12)=12$$

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