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Find the LCM of 120 and 70 by fundamental theorem arithmetic

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The first step would be to use prime factorization - 

\begin{aligned} & 120=2^3 \times 3 \times 5 \\ & 70=2 \times 5 \times 7 \end{aligned}

Take the highest degree from each,

\begin{aligned} & 2^3 \\ & 3^1 \\ & 5^1 \\ & 7^1 \end{aligned}

\begin{aligned} & \text { LCM }=2^3 \times 3 \times 5 \times 7=8 \times 3 \times 5 \times 7 \\ & \quad=24 \times 5=120, \quad 120 \times 7=840 \end{aligned}

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Divya Sharma

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