LCM of 681, 493, 910, 663, 628
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 681, 493, 910, 663, 628 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 681, 493, 910, 663, 628. So, keep reading to learn more.
Given numbers are 681,493,910,663,628
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 681,493,910,663,628 is 95932347420.
Find LCM of 681,493,910,663,628 with Prime Factorization
| 2 | 681, 493, 910, 663, 628 |
| 3 | 681, 493, 455, 663, 314 |
| 13 | 227, 493, 455, 221, 314 |
| 17 | 227, 493, 35, 17, 314 |
| 227, 29, 35, 1, 314 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 17 x 227 x 29 x 35 x 1 x 314 = 95932347420
Therefore, the lowest common multiple of 681,493,910,663,628 is 95932347420.
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.
681 x 493 x 910 x 663 x 628 = 127206292678920
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.
681 : 1, 3, 227, 681
493 : 1, 17, 29, 493
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
663 : 1, 3, 13, 17, 39, 51, 221, 663
628 : 1, 2, 4, 157, 314, 628
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 681,493,910,663,628, is 1.
Now, the common factors can be found like this.
681:3x 227
493:17x 29
910:2x 5x 7x 13
663:3x 13x 17
628:2x 2x 157
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 13x 17 = 1326
Therefore, the value for common factors is 1326.
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 = 127206292678920/(1x1326)
LCM = 127206292678920/1326
LCM = 95932347420
Thus, we can understand that the LCM of 681,493,910,663,628 is 95932347420.
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FAQs on LCM of 681, 493, 910, 663, 628
1. What is the LCM of 681, 493, 910, 663, 628?
Answer: LCM of 681, 493, 910, 663, 628 is 95932347420.
2. How to calculate the LCM of 681, 493, 910, 663, 628?
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 681, 493, 910, 663, 628.
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}.