LCM of 782, 813, 738, 517, 468
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 782, 813, 738, 517, 468 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 782, 813, 738, 517, 468. So, keep reading to learn more.
Given numbers are 782,813,738,517,468
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 782,813,738,517,468 is 1051153888356.
Find LCM of 782,813,738,517,468 with Prime Factorization
| 2 | 782, 813, 738, 517, 468 |
| 3 | 391, 813, 369, 517, 234 |
| 3 | 391, 271, 123, 517, 78 |
| 391, 271, 41, 517, 26 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 391 x 271 x 41 x 517 x 26 = 1051153888356
Therefore, the lowest common multiple of 782,813,738,517,468 is 1051153888356.
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.
782 x 813 x 738 x 517 x 468 = 113524619942448
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.
782 : 1, 2, 17, 23, 34, 46, 391, 782
813 : 1, 3, 271, 813
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
517 : 1, 11, 47, 517
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,813,738,517,468, is 1.
Now, the common factors can be found like this.
782:2x 17x 23
813:3x 271
738:2x 3x 3x 41
517:11x 47
468:2x 2x 3x 3x 13
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 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 113524619942448/(1x108)
LCM = 113524619942448/108
LCM = 1051153888356
Thus, we can understand that the LCM of 782,813,738,517,468 is 1051153888356.
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FAQs on LCM of 782, 813, 738, 517, 468
1. What is the LCM of 782, 813, 738, 517, 468?
Answer: LCM of 782, 813, 738, 517, 468 is 1051153888356.
2. How to calculate the LCM of 782, 813, 738, 517, 468?
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 782, 813, 738, 517, 468.
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}.