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Standard VI

Mathematics

Prime Factor Method for L.C.M

If x is the L...

Question

If $x$ is the LCM of a and b, a divides $x$ leaving zero remainder and integer quotient.

True

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False

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Solution

The correct option is A
True

The Least Common Multiple (LCM) of a group of numbers is the smallest number that is a multiple of all the numbers.
$x$ is divisible by a and b because it is a multiple of both a and b. Therefore, a divides x leaving zero remainder and integer quotient.

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If x is the LCM of a and b, a divides x leaving zero remainder and integer quotient.

The correct option is A True The Least Common Multiple (LCM) of a group of numbers is the smallest number that is a multiple of all the numbers. x is divisible by a and b because it is a multiple of both a and b. Therefore, a divides x leaving zero remainder and integer quotient.

If $x$ is the LCM of a and b, a divides $x$ leaving zero remainder and integer quotient.

The correct option is A
True

The Least Common Multiple (LCM) of a group of numbers is the smallest number that is a multiple of all the numbers.
$x$ is divisible by a and b because it is a multiple of both a and b. Therefore, a divides x leaving zero remainder and integer quotient.