Find the LCM of the following numbers

  • Thread starter Thread starter chwala
  • Start date Start date
  • Tags Tags
    Numbers
Click For Summary
SUMMARY

The discussion focuses on calculating the least common multiple (LCM) of the numbers 726 and 736, concluding that the correct LCM is 267,168. Participants clarify that the LCM should be derived from the prime factorization, specifically 25 × 3 × 112 × 23. Initial confusion arose from not finding the product before determining the LCM, emphasizing the importance of understanding the relationship between the highest common factor and the product of the numbers.

PREREQUISITES
  • Understanding of prime factorization
  • Familiarity with the concept of least common multiple (LCM)
  • Knowledge of highest common factor (HCF)
  • Basic arithmetic operations
NEXT STEPS
  • Study prime factorization techniques for LCM calculations
  • Learn about the relationship between LCM and HCF
  • Explore examples of LCM calculations with multiple numbers
  • Practice problems involving LCM and HCF for deeper understanding
USEFUL FOR

Mathematics students, educators, and anyone interested in number theory or enhancing their skills in calculating least common multiples and highest common factors.

chwala
Gold Member
Messages
2,828
Reaction score
420
Homework Statement
See attached
Relevant Equations
lcm
This is the problem, i think its not possible to get the lcm from the options given, i need a second opinion on this:

1632223863171.png
lcm ought to be## 22×23×48=24,288##

lcm[{22, 23, 32, 33}]=24,288## ok my initial thinking here was not correct. I was finding the lcm without first finding the product...

The correct way is to simply find lcm ##(726, 736)=267,168##
 
Last edited:
Physics news on Phys.org
It ought to be ##2^5 \cdot 3 \cdot 11^2 \cdot 23 = 267168##
 
  • Like
Likes   Reactions: PeroK and chwala
ergospherical said:
It ought to be ##2^5 \cdot 3 \cdot 11^2 \cdot 23 = 267168##
really?
 
ergospherical said:
It ought to be ##2^5 \cdot 3 \cdot 11^2 \cdot 23 = 267168##
ok, you had to find the product first...cheers...
 
The highest common factor is only ##2##. So, the lowest common multiple must be half the product.
 
  • Like
Likes   Reactions: berkeman and chwala

Similar threads

  • · Replies 7 ·
Replies
7
Views
1K
  • · Replies 1 ·
Replies
1
Views
1K
Replies
1
Views
2K
Replies
4
Views
2K
  • · Replies 11 ·
Replies
11
Views
2K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 12 ·
Replies
12
Views
3K
  • · Replies 7 ·
Replies
7
Views
7K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K