LCM of 772, 806, 998, 313
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 772, 806, 998, 313 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 772, 806, 998, 313. So, keep reading to learn more.
Given numbers are 772,806,998,313
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 772,806,998,313 is 48592274692.
Find LCM of 772,806,998,313 with Prime Factorization
| 2 | 772, 806, 998, 313 |
| 386, 403, 499, 313 |
Multiply the prime numbers at the bottom and the left side.
2 x 386 x 403 x 499 x 313 = 48592274692
Therefore, the lowest common multiple of 772,806,998,313 is 48592274692.
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.
772 x 806 x 998 x 313 = 194369098768
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.
772 : 1, 2, 4, 193, 386, 772
806 : 1, 2, 13, 26, 31, 62, 403, 806
998 : 1, 2, 499, 998
313 : 1, 313
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 772,806,998,313, is 1.
Now, the common factors can be found like this.
772:2x 2x 193
806:2x 13x 31
998:2x 499
313:313
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 194369098768/(1x4)
LCM = 194369098768/4
LCM = 48592274692
Thus, we can understand that the LCM of 772,806,998,313 is 48592274692.
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FAQs on LCM of 772, 806, 998, 313
1. What is the LCM of 772, 806, 998, 313?
Answer: LCM of 772, 806, 998, 313 is 48592274692.
2. How to calculate the LCM of 772, 806, 998, 313?
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 772, 806, 998, 313.
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}.