LCM of 245, 813, 660, 939, 830
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 245, 813, 660, 939, 830 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 245, 813, 660, 939, 830. So, keep reading to learn more.
Given numbers are 245,813,660,939,830
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 245,813,660,939,830 is 227683593060.
Find LCM of 245,813,660,939,830 with Prime Factorization
| 2 | 245, 813, 660, 939, 830 |
| 3 | 245, 813, 330, 939, 415 |
| 5 | 245, 271, 110, 313, 415 |
| 49, 271, 22, 313, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 49 x 271 x 22 x 313 x 83 = 227683593060
Therefore, the lowest common multiple of 245,813,660,939,830 is 227683593060.
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.
245 x 813 x 660 x 939 x 830 = 102457616877000
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.
245 : 1, 5, 7, 35, 49, 245
813 : 1, 3, 271, 813
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
939 : 1, 3, 313, 939
830 : 1, 2, 5, 10, 83, 166, 415, 830
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 245,813,660,939,830, is 1.
Now, the common factors can be found like this.
245:5x 7x 7
813:3x 271
660:2x 2x 3x 5x 11
939:3x 313
830:2x 5x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 5 = 450
Therefore, the value for common factors is 450.
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 = 102457616877000/(1x450)
LCM = 102457616877000/450
LCM = 227683593060
Thus, we can understand that the LCM of 245,813,660,939,830 is 227683593060.
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FAQs on LCM of 245, 813, 660, 939, 830
1. What is the LCM of 245, 813, 660, 939, 830?
Answer: LCM of 245, 813, 660, 939, 830 is 227683593060.
2. How to calculate the LCM of 245, 813, 660, 939, 830?
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 245, 813, 660, 939, 830.
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}.