Find the LCM of 790, 142, 738, 407, 781 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 790, 142, 738, 407, 781. So, keep reading to learn more.
Given numbers are 790,142,738,407,781
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 790,142,738,407,781 is 8423764470.
Find LCM of 790,142,738,407,781 with Prime Factorization
2 | 790, 142, 738, 407, 781 |
11 | 395, 71, 369, 407, 781 |
71 | 395, 71, 369, 37, 71 |
395, 1, 369, 37, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 71 x 395 x 1 x 369 x 37 x 1 = 8423764470
Therefore, the lowest common multiple of 790,142,738,407,781 is 8423764470.
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.
790 x 142 x 738 x 407 x 781 = 26315840204280
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.
790 : 1, 2, 5, 10, 79, 158, 395, 790
142 : 1, 2, 71, 142
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
407 : 1, 11, 37, 407
781 : 1, 11, 71, 781
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 790,142,738,407,781, is 1.
Now, the common factors can be found like this.
790:2x 5x 79
142:2x 71
738:2x 3x 3x 41
407:11x 37
781:11x 71
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 11x 71 = 3124
Therefore, the value for common factors is 3124.
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 = 26315840204280/(1x3124)
LCM = 26315840204280/3124
LCM = 8423764470
Thus, we can understand that the LCM of 790,142,738,407,781 is 8423764470.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 790, 142, 738, 407, 781?
Answer: LCM of 790, 142, 738, 407, 781 is 8423764470.
2. How to calculate the LCM of 790, 142, 738, 407, 781?
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 790, 142, 738, 407, 781.
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}.