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explain LCM and HCF in detail , with example
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PLZ
Answers
Lowest Common Multiple (LCM): The least or smallest common multiple of any two or more given natural numbers are termed as LCM. For example, LCM of 10, 15, and 20 is 60.
Highest Common Factor (HCF):The largest or greatest factor common to any two or more given natural numbers is termed as HCF of given numbers. Also known as GCD (Greatest Common Divisor).For example, HCF of 4, 6 and 8 is 2.
4 = 2 × 2
6 =3 × 2
8 = 4 × 2
Here, highest common factor of 4, 6 and 8 is 2.
Both HCF and LCM of given numbers can be found by using two methods; they are division method and prime factorization
LCM
it means lowest common multiple
by these words we understand that we have to find out the lowest common multiple of a number.
means how many multiples does a number have
LCM we can find with more than 1 numbers or 1 number also
by this we can find the common multiple of 2 nos or more
where as HCF
means highest common factor
by these words we understand that we have to find out the highest common factor of a number
we can find HCF of 1 number at a time
by this we can find the common factor between 2 nos or more.
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