The least common multiple is divisible by both a and b and it is the smallest positive integer divisible by both. The same food last for 4 girls will last 12 days.
The least common multiple that is divisible by both a and b is the smallest positive integer, lowest common multiple, or smallest common multiple of two numbers a and b, generally indicated by LCM.
The relationship between work and time is given by,
W = R × M × T
where W is the work, R is the rate of work, T is the time taken to do the work, and M is the number of people doing the work.
Given that 8 girls have enough food for 6 days. Therefore, the amount of food that a girl needs for a day is,
Amount of food that the girls need for a day = 1/(8×6) = 1/48
Now, if the same food is available then the time for which the food will last is,
[tex]\rm Time = \dfrac1{(4 \times \frac1{48})}[/tex]
= 12 days
Hence, the same food last for 4 girls will last 12 days.
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