Question

if the HCF of 28,35 and 343 is equal to 7 .Find the LCM of 28,35 and 343?

Answer 1

$\frac{lcm \times hcf}{products \: of \: no} \\ = \frac{lcm \times 7}{28 \times 35 \times 343} \\ lcm = \frac{28 \times 35 \times 343}{7} \\ lcm = 6860$

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Answer 2

Prime factorization of 28 = 2 * 2 * 7

Prime factorization of 35 = 5 * 7

Prime factorization of 343 = 7 * 7 * 7


HCF(28,35,343) = 7.


LCM(28,35,343) = 2 * 2 * 5 * 7 * 7 * 7

                            = 6860.


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