LCM of 781, 934, 426, 447
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 781, 934, 426, 447 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 781, 934, 426, 447. So, keep reading to learn more.
Given numbers are 781,934,426,447
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 781,934,426,447 is 326065938.
Find LCM of 781,934,426,447 with Prime Factorization
| 2 | 781, 934, 426, 447 |
| 3 | 781, 467, 213, 447 |
| 71 | 781, 467, 71, 149 |
| 11, 467, 1, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 71 x 11 x 467 x 1 x 149 = 326065938
Therefore, the lowest common multiple of 781,934,426,447 is 326065938.
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.
781 x 934 x 426 x 447 = 138904089588
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.
781 : 1, 11, 71, 781
934 : 1, 2, 467, 934
426 : 1, 2, 3, 6, 71, 142, 213, 426
447 : 1, 3, 149, 447
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,934,426,447, is 1.
Now, the common factors can be found like this.
781:11x 71
934:2x 467
426:2x 3x 71
447:3x 149
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 71 = 426
Therefore, the value for common factors is 426.
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 = 138904089588/(1x426)
LCM = 138904089588/426
LCM = 326065938
Thus, we can understand that the LCM of 781,934,426,447 is 326065938.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 781, 934, 426, 447
1. What is the LCM of 781, 934, 426, 447?
Answer: LCM of 781, 934, 426, 447 is 326065938.
2. How to calculate the LCM of 781, 934, 426, 447?
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 781, 934, 426, 447.
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}.