LCM of 782, 414, 283, 838, 786
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 782, 414, 283, 838, 786 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 782, 414, 283, 838, 786. So, keep reading to learn more.
Given numbers are 782,414,283,838,786
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 782,414,283,838,786 is 109325385306.
Find LCM of 782,414,283,838,786 with Prime Factorization
| 2 | 782, 414, 283, 838, 786 |
| 3 | 391, 207, 283, 419, 393 |
| 23 | 391, 69, 283, 419, 131 |
| 17, 3, 283, 419, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 17 x 3 x 283 x 419 x 131 = 109325385306
Therefore, the lowest common multiple of 782,414,283,838,786 is 109325385306.
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.
782 x 414 x 283 x 838 x 786 = 60347612688912
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.
782 : 1, 2, 17, 23, 34, 46, 391, 782
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
283 : 1, 283
838 : 1, 2, 419, 838
786 : 1, 2, 3, 6, 131, 262, 393, 786
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,414,283,838,786, is 1.
Now, the common factors can be found like this.
782:2x 17x 23
414:2x 3x 3x 23
283:283
838:2x 419
786:2x 3x 131
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 3x 23 = 552
Therefore, the value for common factors is 552.
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 = 60347612688912/(1x552)
LCM = 60347612688912/552
LCM = 109325385306
Thus, we can understand that the LCM of 782,414,283,838,786 is 109325385306.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 782, 414, 283, 838, 786
1. What is the LCM of 782, 414, 283, 838, 786?
Answer: LCM of 782, 414, 283, 838, 786 is 109325385306.
2. How to calculate the LCM of 782, 414, 283, 838, 786?
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 782, 414, 283, 838, 786.
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}.