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Standard VI

Mathematics

LCM

Determine the...

Question

Determine the LCM of $225$ and $300$ .

900

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1200

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1000

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1500

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Solution

The correct option is A $900$
$225 = 3 \times 3 \times 5 \times 5$

$300 = 2 \times 2 \times 3 \times 5 \times 5$

LCM of two numbers is equal to the product of common and uncommon facotors.

Here common factors are $3, 5, 5$ and uncommon factors are $2, 2, 3$

$\Rightarrow$ LCM $= 2 \times 2 \times 3 \times 3 \times 5 \times 5 = 900$

Hence option (A) is correct option.

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200 =____ 7

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400 =____
8

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200 =____ 8

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300 =____ 8

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400 =____
9

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200 =____ 9

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300 =____ 9

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10

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200 =____ 10

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200 =____ 11

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14

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400 =____
25

\times

200 =____ 25

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300 =____ 25

\times

400 =____
27

\times

200 =____ 27

\times

300 =____ 27

\times

400 =____
39

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200 =____ 39

\times

300 =____ 39

\times

400 =____
48

\times

200 =____ 48

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300 =____ 48

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50

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Determine the LCM of 225 and 300.

The correct option is A 900225=3×3×5×5300=2×2×3×5×5LCM of two numbers is equal to the product of common and uncommon facotors.Here common factors are 3,5,5 and uncommon factors are 2,2,3⇒ LCM =2×2×3×3×5×5=900Hence option (A) is correct option.

Determine the LCM of $225$ and $300$ .