Some guavas are distributed among $16, 40$ and $70$ boys. What should be the minimum number of guavas required to distribute so that no guava is left ?

140

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280

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560

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1120

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None of these

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Solution

The correct option is B $560$
The minimum number of guavas $=$ LCM of $16, 40, 70$
$16 = 2 \times 2 \times 2 \times 2$
$40 = 2 \times 2 \times 2 \times 5$
$70 = 2 \times 5 \times 7$
So,
Required LCM $= 2 \times 2 \times 2 \times 2 \times 5 \times 7 = 560$
Minimum no. of guavas $= 560$ .

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Some guavas are distributed among 16,40 and 70 boys. What should be the minimum number of guavas required to distribute so that no guava is left ?

The correct option is B 560The minimum number of guavas = LCM of 16,40,7016=2×2×2×240=2×2×2×570=2×5×7So,Required LCM =2×2×2×2×5×7=560Minimum no. of guavas =560.

Some guavas are distributed among $16, 40$ and $70$ boys. What should be the minimum number of guavas required to distribute so that no guava is left ?

The correct option is B $560$
The minimum number of guavas $=$ LCM of $16, 40, 70$
$16 = 2 \times 2 \times 2 \times 2$
$40 = 2 \times 2 \times 2 \times 5$
$70 = 2 \times 5 \times 7$
So,
Required LCM $= 2 \times 2 \times 2 \times 2 \times 5 \times 7 = 560$
Minimum no. of guavas $= 560$ .