Answer:
The LCM of 19, 95, and 100 is 1900.
Step-by-step explanation:
The LCM (Least Common Multiple) of three numbers can be found by identifying the smallest number that is divisible by all of the given numbers. To find the LCM of 19, 95, and 100, we can follow these steps:
Step 1: Prime Factorization
Find the prime factorization of each number. Prime factorization is expressing a number as a product of its prime factors.
Prime factorization of 19: 19 (since it is already a prime number)
Prime factorization of 95: 5 x 19
Prime factorization of 100: 2 x 2 x 5 x 5
Step 2: Identify Common Prime Factors
Identify the prime factors that are common to all three numbers: 19, 5, and 2.
Step 3: Multiply Common Prime Factors
Multiply the common prime factors to find the LCM:
19 x 5 x 2 x 2 x 5 = 1900
Therefore, the LCM of 19, 95, and 100 is 1900.
