LCM of 910, 856, 878, 572, 982
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 910, 856, 878, 572, 982 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 910, 856, 878, 572, 982. So, keep reading to learn more.
Given numbers are 910,856,878,572,982
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 910,856,878,572,982 is 923472269720.
Find LCM of 910,856,878,572,982 with Prime Factorization
| 2 | 910, 856, 878, 572, 982 |
| 2 | 455, 428, 439, 286, 491 |
| 13 | 455, 214, 439, 143, 491 |
| 35, 214, 439, 11, 491 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 35 x 214 x 439 x 11 x 491 = 923472269720
Therefore, the lowest common multiple of 910,856,878,572,982 is 923472269720.
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.
910 x 856 x 878 x 572 x 982 = 384164464203520
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.
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
856 : 1, 2, 4, 8, 107, 214, 428, 856
878 : 1, 2, 439, 878
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
982 : 1, 2, 491, 982
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,856,878,572,982, is 2.
Now, the common factors can be found like this.
910:2x 5x 7x 13
856:2x 2x 2x 107
878:2x 439
572:2x 2x 11x 13
982:2x 491
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 13 = 208
Therefore, the value for common factors is 208.
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 = 384164464203520/(2x208)
LCM = 384164464203520/416
LCM = 923472269720
Thus, we can understand that the LCM of 910,856,878,572,982 is 923472269720.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 910, 856, 878, 572, 982
1. What is the LCM of 910, 856, 878, 572, 982?
Answer: LCM of 910, 856, 878, 572, 982 is 923472269720.
2. How to calculate the LCM of 910, 856, 878, 572, 982?
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 910, 856, 878, 572, 982.
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}.