Subjective Type

Find the $$LCM$$ of $$160,170$$ and $$90$$.

Solution

$$\textbf{LCM of numbers can be found by multiplying all the prime factors of the numbers, but by}$$
$$\textbf{considering the common factors of the numbers only once}$$.

Prime factorization of the number
$$160 = 2 \times 2 \times 2 \times 2 \times 2 \times 5$$
$$170 = 2 \times 5 \times 17$$
$$90 = 2 \times 3 \times 3 \times 5$$

$$\therefore$$ LCM $$= 2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 3 \times 5 \times 17$$
$$ = 24480$$

$$\textbf{Hence, the LCM of 160, 170, 90 is 24480}$$

SIMILAR QUESTIONS

Number Systems

Using the common multiple method, find the L.C.M. of the following: $$3, 6, 9$$ and $$12$$

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