What is the least common multiple of 14, 28 and 49?

To find the least common multiple (LCM) of 14, 28, and 49, follow these steps:

1. First, find the prime factors of each number.

   • The prime factors of 14 are 2 and 7.
   • The prime factors of 28 are 2, 2, and 7.
   • The prime factors of 49 are 7 and 7.

2. Next, for each prime number, count the number of times it appears as a factor in each of the numbers. Take the highest count for each prime number.

   • The number 2 appears twice in 28 and once in 14, so take the higher count, which is 2.
   • The number 7 appears twice in 49 and once in both 14 and 28, so take the higher count, which is 2.

3. Multiply these counts of prime numbers together to get the LCM.

   • So, the LCM of 14, 28, and 49 is 227*7 = 196.