I need the LCM of numbers 2,30,57 please I am not understanding it very well
http://www.mathsisfun.com/least-common-multiple-tool.html
Finding the Least Common Multiple (LCM) involves determining the smallest positive integer that is divisible by each of the given numbers without any remainder. To find the LCM of numbers, you can follow these steps:
1. Prime Factorization: Start by factorizing each number into its prime factors.
- For 2: Since it's already a prime number, it remains the same: 2.
- For 30: Divide it by 2 until it is no longer divisible. Next, divide the result by 3 until it is no longer divisible. Finally, you are left with 5. So prime factorization of 30 is: 2 × 3 × 5.
- For 57: Divide it by 3 until it is no longer divisible. You are left with 19. Prime factorization of 57 is: 3 × 19.
Prime factorization of numbers:
- 2 = 2
- 30 = 2 × 3 × 5
- 57 = 3 × 19
2. Identify All Factors: Make a list of all the prime factors identified in step 1.
Factors identified: 2, 3, 5, 19
3. Multiply the Factors: Multiply all the prime factors together to get the LCM.
LCM = 2 × 3 × 5 × 19
4. Calculate the Result: Compute the product of all the factors to find the LCM.
LCM = 2 × 3 × 5 × 19
= 2 × 3 × 95
= 6 × 95
= 570
Therefore, the LCM of 2, 30, and 57 is 570.