The HCF of 75 and 90 is 15. What is their LCM?

150

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180

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300

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450

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Solution

The correct option is D 450
Product of the given two numbers
= $75 \times 90$

HCF = 15 (given)

$L C M = \frac{Product of the two numbers}{H C F}$
$= \frac{75 \times 90}{15}$
$= 5 \times 90$
$= 450$

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The LCM of the two numbers is $9$ times their HCF. The sum of LCM and HCF is $500.$ Find their HCF.

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