Answer :
Answer: The least number of soldiers that can be arranged in 24, 36 and 48 in each row is 144
Step-by-step explanation: To find the least number of soldiers we have to find the Lowest common factor (LCM) of the 3 numbers :
To find the least common multiple (LCM) of 24, 36, and 48, we can list the prime factors of each number:
( 24 = 2^3 \times 3 )
( 36 = 2^2 \times 3^2 )
( 48 = 2^4 \times 3 )
The LCM is then found by taking the highest power of each prime factor that appears in any of the numbers:
For the prime factor 2, the highest power is ( 2^4 ) (from 48).
For the prime factor 3, the highest power is ( 3^2 ) (from 36).
So, the LCM of 24, 36, and 48 is ( 2^4 \times 3^2 = 16 \times 9 = 144 ).
Therefore, the LCM of 24, 36, and 48 is 144.