Find the LCM of 363, 410, 685, 979, 358 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 363, 410, 685, 979, 358. So, keep reading to learn more.
Given numbers are 363,410,685,979,358
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 363,410,685,979,358 is 324828470010.
Find LCM of 363,410,685,979,358 with Prime Factorization
2 | 363, 410, 685, 979, 358 |
5 | 363, 205, 685, 979, 179 |
11 | 363, 41, 137, 979, 179 |
33, 41, 137, 89, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 33 x 41 x 137 x 89 x 179 = 324828470010
Therefore, the lowest common multiple of 363,410,685,979,358 is 324828470010.
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.
363 x 410 x 685 x 979 x 358 = 35731131701100
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.
363 : 1, 3, 11, 33, 121, 363
410 : 1, 2, 5, 10, 41, 82, 205, 410
685 : 1, 5, 137, 685
979 : 1, 11, 89, 979
358 : 1, 2, 179, 358
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,410,685,979,358, is 1.
Now, the common factors can be found like this.
363:3x 11x 11
410:2x 5x 41
685:5x 137
979:11x 89
358:2x 179
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 11 = 110
Therefore, the value for common factors is 110.
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 = 35731131701100/(1x110)
LCM = 35731131701100/110
LCM = 324828470010
Thus, we can understand that the LCM of 363,410,685,979,358 is 324828470010.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 363, 410, 685, 979, 358?
Answer: LCM of 363, 410, 685, 979, 358 is 324828470010.
2. How to calculate the LCM of 363, 410, 685, 979, 358?
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 363, 410, 685, 979, 358.
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}.