LCM of 782, 884, 598, 381, 718
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 782, 884, 598, 381, 718 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, 884, 598, 381, 718. So, keep reading to learn more.
Given numbers are 782,884,598,381,718
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 782,884,598,381,718 is 2780990628.
Find LCM of 782,884,598,381,718 with Prime Factorization
| 2 | 782, 884, 598, 381, 718 |
| 13 | 391, 442, 299, 381, 359 |
| 17 | 391, 34, 23, 381, 359 |
| 23 | 23, 2, 23, 381, 359 |
| 1, 2, 1, 381, 359 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 17 x 23 x 1 x 2 x 1 x 381 x 359 = 2780990628
Therefore, the lowest common multiple of 782,884,598,381,718 is 2780990628.
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 884 x 598 x 381 x 718 = 113086202896992
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
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
598 : 1, 2, 13, 23, 26, 46, 299, 598
381 : 1, 3, 127, 381
718 : 1, 2, 359, 718
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,884,598,381,718, is 1.
Now, the common factors can be found like this.
782:2x 17x 23
884:2x 2x 13x 17
598:2x 13x 23
381:3x 127
718:2x 359
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 2x 13x 17x 23 = 40664
Therefore, the value for common factors is 40664.
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 = 113086202896992/(1x40664)
LCM = 113086202896992/40664
LCM = 2780990628
Thus, we can understand that the LCM of 782,884,598,381,718 is 2780990628.
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FAQs on LCM of 782, 884, 598, 381, 718
1. What is the LCM of 782, 884, 598, 381, 718?
Answer: LCM of 782, 884, 598, 381, 718 is 2780990628.
2. How to calculate the LCM of 782, 884, 598, 381, 718?
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, 884, 598, 381, 718.
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}.