LCM of 515, 138, 715, 640, 845
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 515, 138, 715, 640, 845 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 515, 138, 715, 640, 845. So, keep reading to learn more.
Given numbers are 515,138,715,640,845
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 515,138,715,640,845 is 8455624320.
Find LCM of 515,138,715,640,845 with Prime Factorization
| 2 | 515, 138, 715, 640, 845 |
| 5 | 515, 69, 715, 320, 845 |
| 13 | 103, 69, 143, 64, 169 |
| 103, 69, 11, 64, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 103 x 69 x 11 x 64 x 13 = 8455624320
Therefore, the lowest common multiple of 515,138,715,640,845 is 8455624320.
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.
515 x 138 x 715 x 640 x 845 = 27480779040000
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.
515 : 1, 5, 103, 515
138 : 1, 2, 3, 6, 23, 46, 69, 138
715 : 1, 5, 11, 13, 55, 65, 143, 715
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
845 : 1, 5, 13, 65, 169, 845
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 515,138,715,640,845, is 1.
Now, the common factors can be found like this.
515:5x 103
138:2x 3x 23
715:5x 11x 13
640:2x 2x 2x 2x 2x 2x 2x 5
845:5x 13x 13
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 5x 13 = 3250
Therefore, the value for common factors is 3250.
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 = 27480779040000/(1x3250)
LCM = 27480779040000/3250
LCM = 8455624320
Thus, we can understand that the LCM of 515,138,715,640,845 is 8455624320.
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FAQs on LCM of 515, 138, 715, 640, 845
1. What is the LCM of 515, 138, 715, 640, 845?
Answer: LCM of 515, 138, 715, 640, 845 is 8455624320.
2. How to calculate the LCM of 515, 138, 715, 640, 845?
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 515, 138, 715, 640, 845.
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}.