LCM of 786, 419, 145, 838, 826
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 786, 419, 145, 838, 826 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 786, 419, 145, 838, 826. So, keep reading to learn more.
Given numbers are 786,419,145,838,826
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 786,419,145,838,826 is 19722166590.
Find LCM of 786,419,145,838,826 with Prime Factorization
| 2 | 786, 419, 145, 838, 826 |
| 419 | 393, 419, 145, 419, 413 |
| 393, 1, 145, 1, 413 |
Multiply the prime numbers at the bottom and the left side.
2 x 419 x 393 x 1 x 145 x 1 x 413 = 19722166590
Therefore, the lowest common multiple of 786,419,145,838,826 is 19722166590.
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.
786 x 419 x 145 x 838 x 826 = 33054351204840
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.
786 : 1, 2, 3, 6, 131, 262, 393, 786
419 : 1, 419
145 : 1, 5, 29, 145
838 : 1, 2, 419, 838
826 : 1, 2, 7, 14, 59, 118, 413, 826
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 786,419,145,838,826, is 1.
Now, the common factors can be found like this.
786:2x 3x 131
419:419
145:5x 29
838:2x 419
826:2x 7x 59
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 419 = 1676
Therefore, the value for common factors is 1676.
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 = 33054351204840/(1x1676)
LCM = 33054351204840/1676
LCM = 19722166590
Thus, we can understand that the LCM of 786,419,145,838,826 is 19722166590.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 786, 419, 145, 838, 826
1. What is the LCM of 786, 419, 145, 838, 826?
Answer: LCM of 786, 419, 145, 838, 826 is 19722166590.
2. How to calculate the LCM of 786, 419, 145, 838, 826?
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 786, 419, 145, 838, 826.
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}.