LCM of 814, 310, 837, 828, 210
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 814, 310, 837, 828, 210 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 814, 310, 837, 828, 210. So, keep reading to learn more.
Given numbers are 814,310,837,828,210
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,310,837,828,210 is 1096921980.
Find LCM of 814,310,837,828,210 with Prime Factorization
| 2 | 814, 310, 837, 828, 210 |
| 3 | 407, 155, 837, 414, 105 |
| 3 | 407, 155, 279, 138, 35 |
| 5 | 407, 155, 93, 46, 35 |
| 31 | 407, 31, 93, 46, 7 |
| 407, 1, 3, 46, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 31 x 407 x 1 x 3 x 46 x 7 = 1096921980
Therefore, the lowest common multiple of 814,310,837,828,210 is 1096921980.
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.
814 x 310 x 837 x 828 x 210 = 36724947890400
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
310 : 1, 2, 5, 10, 31, 62, 155, 310
837 : 1, 3, 9, 27, 31, 93, 279, 837
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,310,837,828,210, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
310:2x 5x 31
837:3x 3x 3x 31
828:2x 2x 3x 3x 23
210:2x 3x 5x 7
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 3x 3x 3x 5x 31 = 33480
Therefore, the value for common factors is 33480.
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 = 36724947890400/(1x33480)
LCM = 36724947890400/33480
LCM = 1096921980
Thus, we can understand that the LCM of 814,310,837,828,210 is 1096921980.
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FAQs on LCM of 814, 310, 837, 828, 210
1. What is the LCM of 814, 310, 837, 828, 210?
Answer: LCM of 814, 310, 837, 828, 210 is 1096921980.
2. How to calculate the LCM of 814, 310, 837, 828, 210?
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 814, 310, 837, 828, 210.
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}.