Math, asked by mukeshtakar0933, 1 year ago

find the LCM of 150 and 200​

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Answered by kabirsingh18
1

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Answered by techayush
1

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LCM of numbers are the Least Common Multiple , i.e., the highest power of the factors of the given numbers ..

\huge{\boxed{\mathbb\green{\fcolorbox{red}{yellow}{150\:200}}}}

Here, LCM of 150, 200 is given by --->

---> 150 = 2 * 3 * 5²

150 = 2 * 3 * 5²---> 200 = 2³ * 5²

Now, multiple of the highest powers of the factors of the given no.s are

-------> 2³ * 3 * 5² = 8 * 3 * 25

-------> 2³ * 3 * 5² = 8 * 3 * 25===> 200 * 3 = 600

And hence, the LCM of 150 and 200 is 600...

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