LCM of 268, 765, 855, 718, 815
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 268, 765, 855, 718, 815 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 268, 765, 855, 718, 815. So, keep reading to learn more.
Given numbers are 268,765,855,718,815
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 268,765,855,718,815 is 227945951460.
Find LCM of 268,765,855,718,815 with Prime Factorization
| 2 | 268, 765, 855, 718, 815 |
| 3 | 134, 765, 855, 359, 815 |
| 3 | 134, 255, 285, 359, 815 |
| 5 | 134, 85, 95, 359, 815 |
| 134, 17, 19, 359, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 134 x 17 x 19 x 359 x 163 = 227945951460
Therefore, the lowest common multiple of 268,765,855,718,815 is 227945951460.
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.
268 x 765 x 855 x 718 x 815 = 102575678157000
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.
268 : 1, 2, 4, 67, 134, 268
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
718 : 1, 2, 359, 718
815 : 1, 5, 163, 815
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,765,855,718,815, is 1.
Now, the common factors can be found like this.
268:2x 2x 67
765:3x 3x 5x 17
855:3x 3x 5x 19
718:2x 359
815:5x 163
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 5 = 450
Therefore, the value for common factors is 450.
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 = 102575678157000/(1x450)
LCM = 102575678157000/450
LCM = 227945951460
Thus, we can understand that the LCM of 268,765,855,718,815 is 227945951460.
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FAQs on LCM of 268, 765, 855, 718, 815
1. What is the LCM of 268, 765, 855, 718, 815?
Answer: LCM of 268, 765, 855, 718, 815 is 227945951460.
2. How to calculate the LCM of 268, 765, 855, 718, 815?
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 268, 765, 855, 718, 815.
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}.