LCM of 913, 288, 854, 488, 740
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 913, 288, 854, 488, 740 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 913, 288, 854, 488, 740. So, keep reading to learn more.
Given numbers are 913,288,854,488,740
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 913,288,854,488,740 is 20771261280.
Find LCM of 913,288,854,488,740 with Prime Factorization
| 2 | 913, 288, 854, 488, 740 |
| 2 | 913, 144, 427, 244, 370 |
| 2 | 913, 72, 427, 122, 185 |
| 61 | 913, 36, 427, 61, 185 |
| 913, 36, 7, 1, 185 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 61 x 913 x 36 x 7 x 1 x 185 = 20771261280
Therefore, the lowest common multiple of 913,288,854,488,740 is 20771261280.
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.
913 x 288 x 854 x 488 x 740 = 81091004037120
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.
913 : 1, 11, 83, 913
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
854 : 1, 2, 7, 14, 61, 122, 427, 854
488 : 1, 2, 4, 8, 61, 122, 244, 488
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 913,288,854,488,740, is 1.
Now, the common factors can be found like this.
913:11x 83
288:2x 2x 2x 2x 2x 3x 3
854:2x 7x 61
488:2x 2x 2x 61
740:2x 2x 5x 37
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 2x 2x 2x 61 = 3904
Therefore, the value for common factors is 3904.
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 = 81091004037120/(1x3904)
LCM = 81091004037120/3904
LCM = 20771261280
Thus, we can understand that the LCM of 913,288,854,488,740 is 20771261280.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 913, 288, 854, 488, 740
1. What is the LCM of 913, 288, 854, 488, 740?
Answer: LCM of 913, 288, 854, 488, 740 is 20771261280.
2. How to calculate the LCM of 913, 288, 854, 488, 740?
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 913, 288, 854, 488, 740.
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}.