Find the LCM of 358, 617, 726, 558, 912 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 358, 617, 726, 558, 912. So, keep reading to learn more.
Given numbers are 358,617,726,558,912
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 358,617,726,558,912 is 1133447352048.
Find LCM of 358,617,726,558,912 with Prime Factorization
2 | 358, 617, 726, 558, 912 |
3 | 179, 617, 363, 279, 456 |
179, 617, 121, 93, 152 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 179 x 617 x 121 x 93 x 152 = 1133447352048
Therefore, the lowest common multiple of 358,617,726,558,912 is 1133447352048.
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.
358 x 617 x 726 x 558 x 912 = 81608209347456
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.
358 : 1, 2, 179, 358
617 : 1, 617
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 358,617,726,558,912, is 1.
Now, the common factors can be found like this.
358:2x 179
617:617
726:2x 3x 11x 11
558:2x 3x 3x 31
912:2x 2x 2x 2x 3x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 81608209347456/(1x72)
LCM = 81608209347456/72
LCM = 1133447352048
Thus, we can understand that the LCM of 358,617,726,558,912 is 1133447352048.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 358, 617, 726, 558, 912?
Answer: LCM of 358, 617, 726, 558, 912 is 1133447352048.
2. How to calculate the LCM of 358, 617, 726, 558, 912?
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 358, 617, 726, 558, 912.
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}.