LCM of 913, 994, 714, 756, 904
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 913, 994, 714, 756, 904 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, 994, 714, 756, 904. So, keep reading to learn more.
Given numbers are 913,994,714,756,904
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 913,994,714,756,904 is 188281774296.
Find LCM of 913,994,714,756,904 with Prime Factorization
| 2 | 913, 994, 714, 756, 904 |
| 2 | 913, 497, 357, 378, 452 |
| 3 | 913, 497, 357, 189, 226 |
| 7 | 913, 497, 119, 63, 226 |
| 913, 71, 17, 9, 226 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 913 x 71 x 17 x 9 x 226 = 188281774296
Therefore, the lowest common multiple of 913,994,714,756,904 is 188281774296.
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 994 x 714 x 756 x 904 = 442838733144192
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
994 : 1, 2, 7, 14, 71, 142, 497, 994
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
904 : 1, 2, 4, 8, 113, 226, 452, 904
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 913,994,714,756,904, is 1.
Now, the common factors can be found like this.
913:11x 83
994:2x 7x 71
714:2x 3x 7x 17
756:2x 2x 3x 3x 3x 7
904:2x 2x 2x 113
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 3x 7x 7 = 2352
Therefore, the value for common factors is 2352.
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 = 442838733144192/(1x2352)
LCM = 442838733144192/2352
LCM = 188281774296
Thus, we can understand that the LCM of 913,994,714,756,904 is 188281774296.
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, 994, 714, 756, 904
1. What is the LCM of 913, 994, 714, 756, 904?
Answer: LCM of 913, 994, 714, 756, 904 is 188281774296.
2. How to calculate the LCM of 913, 994, 714, 756, 904?
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, 994, 714, 756, 904.
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}.