LCM of 857, 782, 360, 870, 261
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 857, 782, 360, 870, 261 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 857, 782, 360, 870, 261. So, keep reading to learn more.
Given numbers are 857,782,360,870,261
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 857,782,360,870,261 is 3498308280.
Find LCM of 857,782,360,870,261 with Prime Factorization
| 2 | 857, 782, 360, 870, 261 |
| 3 | 857, 391, 180, 435, 261 |
| 3 | 857, 391, 60, 145, 87 |
| 5 | 857, 391, 20, 145, 29 |
| 29 | 857, 391, 4, 29, 29 |
| 857, 391, 4, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 29 x 857 x 391 x 4 x 1 x 1 = 3498308280
Therefore, the lowest common multiple of 857,782,360,870,261 is 3498308280.
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.
857 x 782 x 360 x 870 x 261 = 54783507664800
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.
857 : 1, 857
782 : 1, 2, 17, 23, 34, 46, 391, 782
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
261 : 1, 3, 9, 29, 87, 261
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 857,782,360,870,261, is 1.
Now, the common factors can be found like this.
857:857
782:2x 17x 23
360:2x 2x 2x 3x 3x 5
870:2x 3x 5x 29
261:3x 3x 29
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 3x 3x 3x 5x 29 = 15660
Therefore, the value for common factors is 15660.
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 = 54783507664800/(1x15660)
LCM = 54783507664800/15660
LCM = 3498308280
Thus, we can understand that the LCM of 857,782,360,870,261 is 3498308280.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 857, 782, 360, 870, 261
1. What is the LCM of 857, 782, 360, 870, 261?
Answer: LCM of 857, 782, 360, 870, 261 is 3498308280.
2. How to calculate the LCM of 857, 782, 360, 870, 261?
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 857, 782, 360, 870, 261.
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}.