LCM of 589, 923, 319, 950, 760
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 589, 923, 319, 950, 760 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 589, 923, 319, 950, 760. So, keep reading to learn more.
Given numbers are 589,923,319,950,760
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 589,923,319,950,760 is 34684678600.
Find LCM of 589,923,319,950,760 with Prime Factorization
| 2 | 589, 923, 319, 950, 760 |
| 5 | 589, 923, 319, 475, 380 |
| 19 | 589, 923, 319, 95, 76 |
| 31, 923, 319, 5, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 19 x 31 x 923 x 319 x 5 x 4 = 34684678600
Therefore, the lowest common multiple of 589,923,319,950,760 is 34684678600.
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.
589 x 923 x 319 x 950 x 760 = 125211689746000
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.
589 : 1, 19, 31, 589
923 : 1, 13, 71, 923
319 : 1, 11, 29, 319
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,923,319,950,760, is 1.
Now, the common factors can be found like this.
589:19x 31
923:13x 71
319:11x 29
950:2x 5x 5x 19
760:2x 2x 2x 5x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 19x 19 = 3610
Therefore, the value for common factors is 3610.
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 = 125211689746000/(1x3610)
LCM = 125211689746000/3610
LCM = 34684678600
Thus, we can understand that the LCM of 589,923,319,950,760 is 34684678600.
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FAQs on LCM of 589, 923, 319, 950, 760
1. What is the LCM of 589, 923, 319, 950, 760?
Answer: LCM of 589, 923, 319, 950, 760 is 34684678600.
2. How to calculate the LCM of 589, 923, 319, 950, 760?
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 589, 923, 319, 950, 760.
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}.