LCM of 898, 830, 814, 286, 975
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 898, 830, 814, 286, 975 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 898, 830, 814, 286, 975. So, keep reading to learn more.
Given numbers are 898,830,814,286,975
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 898,830,814,286,975 is 29576954550.
Find LCM of 898,830,814,286,975 with Prime Factorization
| 2 | 898, 830, 814, 286, 975 |
| 5 | 449, 415, 407, 143, 975 |
| 11 | 449, 83, 407, 143, 195 |
| 13 | 449, 83, 37, 13, 195 |
| 449, 83, 37, 1, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 13 x 449 x 83 x 37 x 1 x 15 = 29576954550
Therefore, the lowest common multiple of 898,830,814,286,975 is 29576954550.
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.
898 x 830 x 814 x 286 x 975 = 169180180026000
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.
898 : 1, 2, 449, 898
830 : 1, 2, 5, 10, 83, 166, 415, 830
814 : 1, 2, 11, 22, 37, 74, 407, 814
286 : 1, 2, 11, 13, 22, 26, 143, 286
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 898,830,814,286,975, is 1.
Now, the common factors can be found like this.
898:2x 449
830:2x 5x 83
814:2x 11x 37
286:2x 11x 13
975:3x 5x 5x 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 2x 2x 5x 11x 13 = 5720
Therefore, the value for common factors is 5720.
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 = 169180180026000/(1x5720)
LCM = 169180180026000/5720
LCM = 29576954550
Thus, we can understand that the LCM of 898,830,814,286,975 is 29576954550.
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FAQs on LCM of 898, 830, 814, 286, 975
1. What is the LCM of 898, 830, 814, 286, 975?
Answer: LCM of 898, 830, 814, 286, 975 is 29576954550.
2. How to calculate the LCM of 898, 830, 814, 286, 975?
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 898, 830, 814, 286, 975.
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}.