LCM of 793, 781, 520, 688, 289
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 793, 781, 520, 688, 289 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 793, 781, 520, 688, 289. So, keep reading to learn more.
Given numbers are 793,781,520,688,289
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 793,781,520,688,289 is 615716095280.
Find LCM of 793,781,520,688,289 with Prime Factorization
| 2 | 793, 781, 520, 688, 289 |
| 2 | 793, 781, 260, 344, 289 |
| 2 | 793, 781, 130, 172, 289 |
| 13 | 793, 781, 65, 86, 289 |
| 61, 781, 5, 86, 289 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 61 x 781 x 5 x 86 x 289 = 615716095280
Therefore, the lowest common multiple of 793,781,520,688,289 is 615716095280.
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.
793 x 781 x 520 x 688 x 289 = 64034473909120
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.
793 : 1, 13, 61, 793
781 : 1, 11, 71, 781
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
289 : 1, 17, 289
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 793,781,520,688,289, is 1.
Now, the common factors can be found like this.
793:13x 61
781:11x 71
520:2x 2x 2x 5x 13
688:2x 2x 2x 2x 43
289:17x 17
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 13 = 104
Therefore, the value for common factors is 104.
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 = 64034473909120/(1x104)
LCM = 64034473909120/104
LCM = 615716095280
Thus, we can understand that the LCM of 793,781,520,688,289 is 615716095280.
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FAQs on LCM of 793, 781, 520, 688, 289
1. What is the LCM of 793, 781, 520, 688, 289?
Answer: LCM of 793, 781, 520, 688, 289 is 615716095280.
2. How to calculate the LCM of 793, 781, 520, 688, 289?
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 793, 781, 520, 688, 289.
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}.