LCM of 766, 341, 798, 908, 217
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 766, 341, 798, 908, 217 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 766, 341, 798, 908, 217. So, keep reading to learn more.
Given numbers are 766,341,798,908,217
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 766,341,798,908,217 is 47316422076.
Find LCM of 766,341,798,908,217 with Prime Factorization
| 2 | 766, 341, 798, 908, 217 |
| 7 | 383, 341, 399, 454, 217 |
| 31 | 383, 341, 57, 454, 31 |
| 383, 11, 57, 454, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 31 x 383 x 11 x 57 x 454 x 1 = 47316422076
Therefore, the lowest common multiple of 766,341,798,908,217 is 47316422076.
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.
766 x 341 x 798 x 908 x 217 = 41070654361968
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.
766 : 1, 2, 383, 766
341 : 1, 11, 31, 341
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
908 : 1, 2, 4, 227, 454, 908
217 : 1, 7, 31, 217
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 766,341,798,908,217, is 1.
Now, the common factors can be found like this.
766:2x 383
341:11x 31
798:2x 3x 7x 19
908:2x 2x 227
217:7x 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 7x 31 = 868
Therefore, the value for common factors is 868.
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 = 41070654361968/(1x868)
LCM = 41070654361968/868
LCM = 47316422076
Thus, we can understand that the LCM of 766,341,798,908,217 is 47316422076.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 766, 341, 798, 908, 217
1. What is the LCM of 766, 341, 798, 908, 217?
Answer: LCM of 766, 341, 798, 908, 217 is 47316422076.
2. How to calculate the LCM of 766, 341, 798, 908, 217?
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 766, 341, 798, 908, 217.
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}.