LCM of 910, 628, 540, 558
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 910, 628, 540, 558 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 910, 628, 540, 558. So, keep reading to learn more.
Given numbers are 910,628,540,558
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 910,628,540,558 is 239164380.
Find LCM of 910,628,540,558 with Prime Factorization
| 2 | 910, 628, 540, 558 |
| 2 | 455, 314, 270, 279 |
| 3 | 455, 157, 135, 279 |
| 3 | 455, 157, 45, 93 |
| 5 | 455, 157, 15, 31 |
| 91, 157, 3, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 91 x 157 x 3 x 31 = 239164380
Therefore, the lowest common multiple of 910,628,540,558 is 239164380.
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.
910 x 628 x 540 x 558 = 172198353600
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.
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
628 : 1, 2, 4, 157, 314, 628
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,628,540,558, is 2.
Now, the common factors can be found like this.
910:2x 5x 7x 13
628:2x 2x 157
540:2x 2x 3x 3x 3x 5
558:2x 3x 3x 31
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 3x 5 = 360
Therefore, the value for common factors is 360.
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 = 172198353600/(2x360)
LCM = 172198353600/720
LCM = 239164380
Thus, we can understand that the LCM of 910,628,540,558 is 239164380.
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FAQs on LCM of 910, 628, 540, 558
1. What is the LCM of 910, 628, 540, 558?
Answer: LCM of 910, 628, 540, 558 is 239164380.
2. How to calculate the LCM of 910, 628, 540, 558?
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 910, 628, 540, 558.
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}.