LCM of 950, 860, 838, 760, 518
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 950, 860, 838, 760, 518 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 950, 860, 838, 760, 518. So, keep reading to learn more.
Given numbers are 950,860,838,760,518
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 950,860,838,760,518 is 17732331400.
Find LCM of 950,860,838,760,518 with Prime Factorization
| 2 | 950, 860, 838, 760, 518 |
| 2 | 475, 430, 419, 380, 259 |
| 5 | 475, 215, 419, 190, 259 |
| 19 | 95, 43, 419, 38, 259 |
| 5, 43, 419, 2, 259 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 19 x 5 x 43 x 419 x 2 x 259 = 17732331400
Therefore, the lowest common multiple of 950,860,838,760,518 is 17732331400.
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.
950 x 860 x 838 x 760 x 518 = 269531437280000
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.
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
838 : 1, 2, 419, 838
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
518 : 1, 2, 7, 14, 37, 74, 259, 518
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 950,860,838,760,518, is 2.
Now, the common factors can be found like this.
950:2x 5x 5x 19
860:2x 2x 5x 43
838:2x 419
760:2x 2x 2x 5x 19
518:2x 7x 37
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 5x 5x 19 = 7600
Therefore, the value for common factors is 7600.
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 = 269531437280000/(2x7600)
LCM = 269531437280000/15200
LCM = 17732331400
Thus, we can understand that the LCM of 950,860,838,760,518 is 17732331400.
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FAQs on LCM of 950, 860, 838, 760, 518
1. What is the LCM of 950, 860, 838, 760, 518?
Answer: LCM of 950, 860, 838, 760, 518 is 17732331400.
2. How to calculate the LCM of 950, 860, 838, 760, 518?
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 950, 860, 838, 760, 518.
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}.