Sam and Carlos are bowling with plastic pins in Sam's living room. Remarkably, Sam knocks down 8 pins on every bowl, and Carlos knocks down 9 pins on every bowl. At the end of the day, Sam and Carlos have knocked down the same total number of pins. What is the least number of total pins that Sam and Carlos could have each knocked down?
Answers
For this we have to find the L.C.M for it .As we know l.c.m of 8 and 9 is 72. Hence sam and carlos each knock down at least 72 pins.
Concept:
In mathematics, Least Common Multiple is referred to by its entire name, whereas Highest Common Factor is its complete name. The L.C.M. defines the least number that is exactly divisible by two or more numbers, whereas the H.C.F. describes the biggest factor existing between any given pair of two or more numbers. LCM is also known as the Least Common Multiple (LCM), and HCF is also known as the Greatest Common Factor (GCF).
We have two key techniques—the division method and the prime factorization approach—for determining H.C.F. and L.C.M.
Given:
Sam and Carlos are bowling with plastic pins in Sam's living room. Remarkably, Sam knocks down 8 pins on every bowl, and Carlos knocks down 9 pins on every bowl. At the end of the day, Sam and Carlos have knocked down the same total number of pins.
Find:
What is the least number of total pins that Sam and Carlos could have each knocked down?
Solution:
We need to find the lcm for i
LCM (89)=72
Therefore, the least number of total pins that Sam and Carlos could have each knocked down is 72
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