LCM of 860, 870, 580, 319
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 860, 870, 580, 319 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 860, 870, 580, 319. So, keep reading to learn more.
Given numbers are 860,870,580,319
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 860,870,580,319 is 823020.
Find LCM of 860,870,580,319 with Prime Factorization
| 2 | 860, 870, 580, 319 |
| 2 | 430, 435, 290, 319 |
| 5 | 215, 435, 145, 319 |
| 29 | 43, 87, 29, 319 |
| 43, 3, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 29 x 43 x 3 x 1 x 11 = 823020
Therefore, the lowest common multiple of 860,870,580,319 is 823020.
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.
860 x 870 x 580 x 319 = 138431964000
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.
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
319 : 1, 11, 29, 319
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 860,870,580,319, is 1.
Now, the common factors can be found like this.
860:2x 2x 5x 43
870:2x 3x 5x 29
580:2x 2x 5x 29
319:11x 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 2x 5x 5x 29x 29 = 168200
Therefore, the value for common factors is 168200.
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 = 138431964000/(1x168200)
LCM = 138431964000/168200
LCM = 823020
Thus, we can understand that the LCM of 860,870,580,319 is 823020.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 860, 870, 580, 319
1. What is the LCM of 860, 870, 580, 319?
Answer: LCM of 860, 870, 580, 319 is 823020.
2. How to calculate the LCM of 860, 870, 580, 319?
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 860, 870, 580, 319.
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}.