The Concept of LCM and HCF

The full forms of H.C.F. and L.C.M. are, Highest Common factor and Least Common Multiple, respectively. The H.C.F. defines the greatest factor present in between given two or more numbers, whereas L.C.M. defines the least number which is exactly divisible by two or more numbers. H.C.F. is also called the greatest common factor (GCF) and LCM is also called the Least Common Divisor.

To find H.C.F. and L.C.M. we have two important methods which are Prime factorisation method and division method. We have learned both the methods in our earlier classes. The shortcut method to find both H.C.F. and L.C.M. is division method. Let us learn the relationship between HCF and LCM with the help of formula here. Also, we will solve some problems based on these two concepts to understand better.

Our Research & Findings

#IBPS PO

As a sample we have choosen the last 4 year's (2019, 2018, 2017, 2016) previously asked question papers. In quatitative aptitude section, a total number of questions asked are 35. Out of these 35 questions 2.86% of questions are from LCM and HCF.

#SBIPO

As a sample we have choosen the last 4 year's (2019, 2018, 2017, 2016) previously asked question papers. In quatitative aptitude section, a total number of questions asked are 35. Out of these 35 questions 3.57% of questions are from LCM and HCF.

#TCSNQT

As a sample we have choosen the last 4 year's (2019, 2018, 2017, 2016) previously asked question papers. In quatitative aptitude section, a total number of questions asked are 26. Out of these 26 questions 3.53% of questions are from LCM and HCF.

Teaching Methodology

  • Concepts based solutions
  • Short cut methods
  • Spatial visualization
Sample Question

The traffic lights at three different road crossings change after every 48 seconds, 72 seconds and 108 seconds respectively. If they change simultaneously at 7 a.m. at what time will they change simultaneously again?
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