Highest Common Factor and Lowest Common Multiple

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SUMMARY

The Highest Common Factor (HCF) of the numbers 4, 6, 8, and 18 is definitively 2, as determined by analyzing their prime factors and the differences between the numbers. The Lowest Common Multiple (LCM) of these numbers is 72, derived from the multiples of each number. The discussion emphasizes that since 8 is a multiple of 4 and 18 is a multiple of 6, one can simplify the LCM calculation by focusing on the LCM of 8 and 18. This approach streamlines the process of finding the LCM.

PREREQUISITES
  • Understanding of prime factorization
  • Knowledge of multiples and factors
  • Familiarity with the concepts of HCF and LCM
  • Basic arithmetic skills
NEXT STEPS
  • Study prime factorization techniques for HCF calculations
  • Learn methods for calculating LCM using the least common multiple formula
  • Explore the relationship between HCF and LCM in number theory
  • Practice problems involving HCF and LCM with larger sets of numbers
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Students, educators, and anyone interested in mathematics, particularly those focusing on number theory and arithmetic operations involving factors and multiples.

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Highest Common Factor and Lowest Common Multiple of 4 , 6 , 8 , 18


HCF

4 = 2.2
6 = 4.2
8 = 4.2
18 = 2.9

HCF = 2 ?

LCM
4 = 8 , 12 , 16 , 20 , 24 , 28 , 32 ... 72
6 = 12 , 24 , 32 , ... 72
8 = 16 , 24 , 32 ... 72
18 = 36 , 54 , 72

LCM = 72 ??
 
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luigihs said:
Highest Common Factor and Lowest Common Multiple of 4 , 6 , 8 , 18


HCF

4 = 2.2
6 = 4.2
8 = 4.2
18 = 2.9

HCF = 2 ?
Yes the HCF = 2, but what are those other numbers on the right side? 2.2, 4.2?
You should also be able to tell that the HCF is 2 simply because the difference between 4 and 6 or 6 and 8 is 2, and they're even, so logically you should come to that conclusion.

luigihs said:
LCM
4 = 8 , 12 , 16 , 20 , 24 , 28 , 32 ... 72
6 = 12 , 24 , 32 , ... 72
8 = 16 , 24 , 32 ... 72
18 = 36 , 54 , 72

LCM = 72 ??
Yes, and notice that 8 is a multiple of 4, and 18 is a multiple of 6, so it would suffice to just find the LCM of 8 and 18.
 
Thanks :)
 

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