The ratio between two numbers is $8 : 5$ and their LCM is $360$ . The larger number is____.

24

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72

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48

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36

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Solution

The correct option is B $72$
Let, the numbers be $8 x, 5 x$ respectively

$∵ L C M = 360$

$⟹ 8 \times 5 \times x = 360$

$⟹ x = \frac{360}{40} = 9$

Hence, the numbers are $8 x = 8 \times 9 = 72$
and $5 \times 9 = 45$

Larger number $= 72$

Option B is correct.

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Similar questions

The Lcm of two numbers is 48. If their ratio is 2:3, find their sum

2^{4} \times 3^{5} \times 5^{2} \times 7^{2}

36

72

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