LCM (Lowest Common Multiple) of given two or more than two numbers is the lowest number which is exactly divisible by the given numbers.
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Among the common multiples of the given
numbers, the lowest one is the LCM.
HCF (Highest Common Factor): HCF of given two or more than two numbers is a highest number which can exactly divide the given numbers without any remainder. Among the common factors of those numbers the highest one is the HCF of the numbers.
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10 Math Problems officially announces the release of Quick Math Solver and 10 Math Problems, Apps on Google Play Store for students around the world.
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For example, 8 is the highest number
which can divide 16, 24 and 32 without any remainder. So 8 is the HCF of 16, 24
and 32.
Here,
The factors of 16, F16 = {1, 2, 4, 8, 16}
The factors of 24, F24 = {1, 2, 3, 4, 6, 8, 12, 24}
The factors of 32, F32 = {1, 2, 4, 8, 16, 32}
Common factors = {1, 2, 4, 8}
The highest common factor = 8
∴ HCF of 16, 24 and 32 is = 8.
Note: If there is no common factor between two or more than two numbers, then HCF is 1. Because 1 is a factor of every number.
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