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In this article we have given about how to solve HCM and LCM problems. HCF and LCM formulas are given for clear understanding by the users on Nithra Jobs site. It will be easy method for understanding and learning.
Formulas to use :
1. Factors and Multiples:
If number a divided another number b exactly, we say that a is a factor of b.
In this case, b is called a multiple of a.
2. Highest Common Factor (H.C.F.) or Greatest Common Measure (G.C.M.) or Greatest Common Divisor (G.C.D.):
The H.C.F. of two or more than two numbers is the greatest number that divides each of them exactly.
There are two methods of finding the H.C.F. of a given set of numbers:
Factorization Method and Division Method.
Finding the H.C.F. of more than two numbers:
Suppose we have to find the H.C.F. of three numbers, then, H.C.F. of [(H.C.F. of any two) and (the third number)] gives the H.C.F. of three given number.
Similarly, the H.C.F. of more than three numbers may be obtained.
3. Least Common Multiple (L.C.M):
The least number which is exactly divisible by each one of the given numbers is called their L.C.M.
There are two methods of finding the L.C.M. of a given set of numbers:
Factorization Method, Division Method.
4. Product of two numbers = Product of their H.C.F. and L.C.M.
5. Co-primes:
Two numbers are said to be co-primes if their H.C.F. is 1.
6. H.C.F. and L.C.M. of Fractions:
1. H.C.F. = H.C.F. of Numerators / L.C.M. of Denominators
2. L.C.M. = L.C.M. of Numerators / H.C.F. of Denominators
