LCM of 758, 284, 781, 974, 317
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 758, 284, 781, 974, 317 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 758, 284, 781, 974, 317. So, keep reading to learn more.
Given numbers are 758,284,781,974,317
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 758,284,781,974,317 is 182784118484.
Find LCM of 758,284,781,974,317 with Prime Factorization
| 2 | 758, 284, 781, 974, 317 |
| 71 | 379, 142, 781, 487, 317 |
| 379, 2, 11, 487, 317 |
Multiply the prime numbers at the bottom and the left side.
2 x 71 x 379 x 2 x 11 x 487 x 317 = 182784118484
Therefore, the lowest common multiple of 758,284,781,974,317 is 182784118484.
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.
758 x 284 x 781 x 974 x 317 = 51910689649456
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.
758 : 1, 2, 379, 758
284 : 1, 2, 4, 71, 142, 284
781 : 1, 11, 71, 781
974 : 1, 2, 487, 974
317 : 1, 317
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 758,284,781,974,317, is 1.
Now, the common factors can be found like this.
758:2x 379
284:2x 2x 71
781:11x 71
974:2x 487
317:317
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 71 = 284
Therefore, the value for common factors is 284.
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 = 51910689649456/(1x284)
LCM = 51910689649456/284
LCM = 182784118484
Thus, we can understand that the LCM of 758,284,781,974,317 is 182784118484.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 758, 284, 781, 974, 317
1. What is the LCM of 758, 284, 781, 974, 317?
Answer: LCM of 758, 284, 781, 974, 317 is 182784118484.
2. How to calculate the LCM of 758, 284, 781, 974, 317?
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 758, 284, 781, 974, 317.
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}.