LCM of 115, 935, 828, 872, 803
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 115, 935, 828, 872, 803 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 115, 935, 828, 872, 803. So, keep reading to learn more.
Given numbers are 115,935,828,872,803
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 115,935,828,872,803 is 12320300520.
Find LCM of 115,935,828,872,803 with Prime Factorization
| 2 | 115, 935, 828, 872, 803 |
| 2 | 115, 935, 414, 436, 803 |
| 5 | 115, 935, 207, 218, 803 |
| 11 | 23, 187, 207, 218, 803 |
| 23 | 23, 17, 207, 218, 73 |
| 1, 17, 9, 218, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 23 x 1 x 17 x 9 x 218 x 73 = 12320300520
Therefore, the lowest common multiple of 115,935,828,872,803 is 12320300520.
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.
115 x 935 x 828 x 872 x 803 = 62340720631200
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.
115 : 1, 5, 23, 115
935 : 1, 5, 11, 17, 55, 85, 187, 935
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
872 : 1, 2, 4, 8, 109, 218, 436, 872
803 : 1, 11, 73, 803
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 115,935,828,872,803, is 1.
Now, the common factors can be found like this.
115:5x 23
935:5x 11x 17
828:2x 2x 3x 3x 23
872:2x 2x 2x 109
803:11x 73
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 11x 23 = 5060
Therefore, the value for common factors is 5060.
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 = 62340720631200/(1x5060)
LCM = 62340720631200/5060
LCM = 12320300520
Thus, we can understand that the LCM of 115,935,828,872,803 is 12320300520.
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FAQs on LCM of 115, 935, 828, 872, 803
1. What is the LCM of 115, 935, 828, 872, 803?
Answer: LCM of 115, 935, 828, 872, 803 is 12320300520.
2. How to calculate the LCM of 115, 935, 828, 872, 803?
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 115, 935, 828, 872, 803.
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}.