Find the LCM of 382, 803, 219, 343 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 382, 803, 219, 343. So, keep reading to learn more.
Given numbers are 382,803,219,343
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 382,803,219,343 is 315641634.
Find LCM of 382,803,219,343 with Prime Factorization
73 | 382, 803, 219, 343 |
382, 11, 3, 343 |
Multiply the prime numbers at the bottom and the left side.
73 x 382 x 11 x 3 x 343 = 315641634
Therefore, the lowest common multiple of 382,803,219,343 is 315641634.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
382 x 803 x 219 x 343 = 23041839282
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
382 : 1, 2, 191, 382
803 : 1, 11, 73, 803
219 : 1, 3, 73, 219
343 : 1, 7, 49, 343
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,803,219,343, is 1.
Now, the common factors can be found like this.
382:2x 191
803:11x 73
219:3x 73
343:7x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
73 = 73
Therefore, the value for common factors is 73.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 23041839282/(1x73)
LCM = 23041839282/73
LCM = 315641634
Thus, we can understand that the LCM of 382,803,219,343 is 315641634.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 382, 803, 219, 343?
Answer: LCM of 382, 803, 219, 343 is 315641634.
2. How to calculate the LCM of 382, 803, 219, 343?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 382, 803, 219, 343.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.