LCM of 358, 930, 559, 910, 871
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 358, 930, 559, 910, 871 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 358, 930, 559, 910, 871. So, keep reading to learn more.
Given numbers are 358,930,559,910,871
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 358,930,559,910,871 is 43643606370.
Find LCM of 358,930,559,910,871 with Prime Factorization
| 2 | 358, 930, 559, 910, 871 |
| 5 | 179, 465, 559, 455, 871 |
| 13 | 179, 93, 559, 91, 871 |
| 179, 93, 43, 7, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 179 x 93 x 43 x 7 x 67 = 43643606370
Therefore, the lowest common multiple of 358,930,559,910,871 is 43643606370.
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.
358 x 930 x 559 x 910 x 871 = 147515389530600
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.
358 : 1, 2, 179, 358
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
559 : 1, 13, 43, 559
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
871 : 1, 13, 67, 871
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 358,930,559,910,871, is 1.
Now, the common factors can be found like this.
358:2x 179
930:2x 3x 5x 31
559:13x 43
910:2x 5x 7x 13
871:13x 67
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 5x 13x 13 = 3380
Therefore, the value for common factors is 3380.
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 = 147515389530600/(1x3380)
LCM = 147515389530600/3380
LCM = 43643606370
Thus, we can understand that the LCM of 358,930,559,910,871 is 43643606370.
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FAQs on LCM of 358, 930, 559, 910, 871
1. What is the LCM of 358, 930, 559, 910, 871?
Answer: LCM of 358, 930, 559, 910, 871 is 43643606370.
2. How to calculate the LCM of 358, 930, 559, 910, 871?
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 358, 930, 559, 910, 871.
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}.