LCM of 985, 894, 570, 817, 731
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 985, 894, 570, 817, 731 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 985, 894, 570, 817, 731. So, keep reading to learn more.
Given numbers are 985,894,570,817,731
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 985,894,570,817,731 is 12230514510.
Find LCM of 985,894,570,817,731 with Prime Factorization
| 2 | 985, 894, 570, 817, 731 |
| 3 | 985, 447, 285, 817, 731 |
| 5 | 985, 149, 95, 817, 731 |
| 19 | 197, 149, 19, 817, 731 |
| 43 | 197, 149, 1, 43, 731 |
| 197, 149, 1, 1, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 19 x 43 x 197 x 149 x 1 x 1 x 17 = 12230514510
Therefore, the lowest common multiple of 985,894,570,817,731 is 12230514510.
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.
985 x 894 x 570 x 817 x 731 = 299769910640100
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.
985 : 1, 5, 197, 985
894 : 1, 2, 3, 6, 149, 298, 447, 894
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
817 : 1, 19, 43, 817
731 : 1, 17, 43, 731
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 985,894,570,817,731, is 1.
Now, the common factors can be found like this.
985:5x 197
894:2x 3x 149
570:2x 3x 5x 19
817:19x 43
731:17x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 19x 43 = 24510
Therefore, the value for common factors is 24510.
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 = 299769910640100/(1x24510)
LCM = 299769910640100/24510
LCM = 12230514510
Thus, we can understand that the LCM of 985,894,570,817,731 is 12230514510.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 985, 894, 570, 817, 731
1. What is the LCM of 985, 894, 570, 817, 731?
Answer: LCM of 985, 894, 570, 817, 731 is 12230514510.
2. How to calculate the LCM of 985, 894, 570, 817, 731?
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 985, 894, 570, 817, 731.
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}.