LCM of 513, 854, 807, 837, 671
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 513, 854, 807, 837, 671 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 513, 854, 807, 837, 671. So, keep reading to learn more.
Given numbers are 513,854,807,837,671
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,854,807,837,671 is 40186658358.
Find LCM of 513,854,807,837,671 with Prime Factorization
| 3 | 513, 854, 807, 837, 671 |
| 3 | 171, 854, 269, 279, 671 |
| 3 | 57, 854, 269, 93, 671 |
| 61 | 19, 854, 269, 31, 671 |
| 19, 14, 269, 31, 11 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 61 x 19 x 14 x 269 x 31 x 11 = 40186658358
Therefore, the lowest common multiple of 513,854,807,837,671 is 40186658358.
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.
513 x 854 x 807 x 837 x 671 = 198562278946878
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.
513 : 1, 3, 9, 19, 27, 57, 171, 513
854 : 1, 2, 7, 14, 61, 122, 427, 854
807 : 1, 3, 269, 807
837 : 1, 3, 9, 27, 31, 93, 279, 837
671 : 1, 11, 61, 671
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,854,807,837,671, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
854:2x 7x 61
807:3x 269
837:3x 3x 3x 31
671:11x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 61 = 4941
Therefore, the value for common factors is 4941.
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 = 198562278946878/(1x4941)
LCM = 198562278946878/4941
LCM = 40186658358
Thus, we can understand that the LCM of 513,854,807,837,671 is 40186658358.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 513, 854, 807, 837, 671
1. What is the LCM of 513, 854, 807, 837, 671?
Answer: LCM of 513, 854, 807, 837, 671 is 40186658358.
2. How to calculate the LCM of 513, 854, 807, 837, 671?
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 513, 854, 807, 837, 671.
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}.