LCM of 913, 119, 935, 330, 850
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 913, 119, 935, 330, 850 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 913, 119, 935, 330, 850. So, keep reading to learn more.
Given numbers are 913,119,935,330,850
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 913,119,935,330,850 is 16297050.
Find LCM of 913,119,935,330,850 with Prime Factorization
| 2 | 913, 119, 935, 330, 850 |
| 5 | 913, 119, 935, 165, 425 |
| 11 | 913, 119, 187, 33, 85 |
| 17 | 83, 119, 17, 3, 85 |
| 83, 7, 1, 3, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 17 x 83 x 7 x 1 x 3 x 5 = 16297050
Therefore, the lowest common multiple of 913,119,935,330,850 is 16297050.
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.
913 x 119 x 935 x 330 x 850 = 28494577072500
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.
913 : 1, 11, 83, 913
119 : 1, 7, 17, 119
935 : 1, 5, 11, 17, 55, 85, 187, 935
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 913,119,935,330,850, is 1.
Now, the common factors can be found like this.
913:11x 83
119:7x 17
935:5x 11x 17
330:2x 3x 5x 11
850:2x 5x 5x 17
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 5x 11x 11x 17x 17 = 1748450
Therefore, the value for common factors is 1748450.
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 = 28494577072500/(1x1748450)
LCM = 28494577072500/1748450
LCM = 16297050
Thus, we can understand that the LCM of 913,119,935,330,850 is 16297050.
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FAQs on LCM of 913, 119, 935, 330, 850
1. What is the LCM of 913, 119, 935, 330, 850?
Answer: LCM of 913, 119, 935, 330, 850 is 16297050.
2. How to calculate the LCM of 913, 119, 935, 330, 850?
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 913, 119, 935, 330, 850.
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}.