LCM of 130, 899, 741, 938, 717
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 130, 899, 741, 938, 717 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 130, 899, 741, 938, 717. So, keep reading to learn more.
Given numbers are 130,899,741,938,717
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 130,899,741,938,717 is 746704284690.
Find LCM of 130,899,741,938,717 with Prime Factorization
| 2 | 130, 899, 741, 938, 717 |
| 3 | 65, 899, 741, 469, 717 |
| 13 | 65, 899, 247, 469, 239 |
| 5, 899, 19, 469, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 5 x 899 x 19 x 469 x 239 = 746704284690
Therefore, the lowest common multiple of 130,899,741,938,717 is 746704284690.
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.
130 x 899 x 741 x 938 x 717 = 58242934205820
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.
130 : 1, 2, 5, 10, 13, 26, 65, 130
899 : 1, 29, 31, 899
741 : 1, 3, 13, 19, 39, 57, 247, 741
938 : 1, 2, 7, 14, 67, 134, 469, 938
717 : 1, 3, 239, 717
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 130,899,741,938,717, is 1.
Now, the common factors can be found like this.
130:2x 5x 13
899:29x 31
741:3x 13x 19
938:2x 7x 67
717:3x 239
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 13 = 78
Therefore, the value for common factors is 78.
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 = 58242934205820/(1x78)
LCM = 58242934205820/78
LCM = 746704284690
Thus, we can understand that the LCM of 130,899,741,938,717 is 746704284690.
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FAQs on LCM of 130, 899, 741, 938, 717
1. What is the LCM of 130, 899, 741, 938, 717?
Answer: LCM of 130, 899, 741, 938, 717 is 746704284690.
2. How to calculate the LCM of 130, 899, 741, 938, 717?
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 130, 899, 741, 938, 717.
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}.