Question

Use Euclid′s lemma to find the HCF of 360 and 810 and hence find their LCM

Answer 1

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Answer 2

SOLUTION

TO DETERMINE

Use Euclid′s lemma to find the HCF of 360 and 810 and hence find their LCM

EVALUATION

Here the given numbers are 360 and 810

Now

$\sf{810 = 2 \times 360 + 90}$

$\sf{360 = 4 \times 90 + 0}$

Hence by Euclid′s lemma the HCF = 90

We know that

HCF × LCM = Product of the numbers

Hence the required LCM

$\displaystyle \sf{ = \frac{810 \times 360}{90} }$

$\displaystyle \sf{ =810 \times 4}$

$\displaystyle \sf{ = 3240}$

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