LCM of 755, 416, 898, 642, 891
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 755, 416, 898, 642, 891 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 755, 416, 898, 642, 891. So, keep reading to learn more.
Given numbers are 755,416,898,642,891
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 755,416,898,642,891 is 13444606787040.
Find LCM of 755,416,898,642,891 with Prime Factorization
| 2 | 755, 416, 898, 642, 891 |
| 3 | 755, 208, 449, 321, 891 |
| 755, 208, 449, 107, 297 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 755 x 208 x 449 x 107 x 297 = 13444606787040
Therefore, the lowest common multiple of 755,416,898,642,891 is 13444606787040.
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.
755 x 416 x 898 x 642 x 891 = 161335281444480
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.
755 : 1, 5, 151, 755
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
898 : 1, 2, 449, 898
642 : 1, 2, 3, 6, 107, 214, 321, 642
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 755,416,898,642,891, is 1.
Now, the common factors can be found like this.
755:5x 151
416:2x 2x 2x 2x 2x 13
898:2x 449
642:2x 3x 107
891:3x 3x 3x 3x 11
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 3 = 12
Therefore, the value for common factors is 12.
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 = 161335281444480/(1x12)
LCM = 161335281444480/12
LCM = 13444606787040
Thus, we can understand that the LCM of 755,416,898,642,891 is 13444606787040.
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FAQs on LCM of 755, 416, 898, 642, 891
1. What is the LCM of 755, 416, 898, 642, 891?
Answer: LCM of 755, 416, 898, 642, 891 is 13444606787040.
2. How to calculate the LCM of 755, 416, 898, 642, 891?
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 755, 416, 898, 642, 891.
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}.