LCM of 717, 781, 713, 234, 790
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 717, 781, 713, 234, 790 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 717, 781, 713, 234, 790. So, keep reading to learn more.
Given numbers are 717,781,713,234,790
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 717,781,713,234,790 is 12301311546810.
Find LCM of 717,781,713,234,790 with Prime Factorization
| 2 | 717, 781, 713, 234, 790 |
| 3 | 717, 781, 713, 117, 395 |
| 239, 781, 713, 39, 395 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 239 x 781 x 713 x 39 x 395 = 12301311546810
Therefore, the lowest common multiple of 717,781,713,234,790 is 12301311546810.
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.
717 x 781 x 713 x 234 x 790 = 73807869280860
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.
717 : 1, 3, 239, 717
781 : 1, 11, 71, 781
713 : 1, 23, 31, 713
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
790 : 1, 2, 5, 10, 79, 158, 395, 790
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,781,713,234,790, is 1.
Now, the common factors can be found like this.
717:3x 239
781:11x 71
713:23x 31
234:2x 3x 3x 13
790:2x 5x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 73807869280860/(1x6)
LCM = 73807869280860/6
LCM = 12301311546810
Thus, we can understand that the LCM of 717,781,713,234,790 is 12301311546810.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 717, 781, 713, 234, 790
1. What is the LCM of 717, 781, 713, 234, 790?
Answer: LCM of 717, 781, 713, 234, 790 is 12301311546810.
2. How to calculate the LCM of 717, 781, 713, 234, 790?
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 717, 781, 713, 234, 790.
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}.