LCM of 814, 827, 837, 103, 279
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 814, 827, 837, 103, 279 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, 827, 837, 103, 279. So, keep reading to learn more.
Given numbers are 814,827,837,103,279
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,827,837,103,279 is 58035348558.
Find LCM of 814,827,837,103,279 with Prime Factorization
| 3 | 814, 827, 837, 103, 279 |
| 3 | 814, 827, 279, 103, 93 |
| 31 | 814, 827, 31, 103, 93 |
| 814, 827, 1, 103, 3 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 31 x 814 x 827 x 1 x 103 x 3 = 58035348558
Therefore, the lowest common multiple of 814,827,837,103,279 is 58035348558.
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 827 x 837 x 103 x 279 = 16191862247682
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
827 : 1, 827
837 : 1, 3, 9, 27, 31, 93, 279, 837
103 : 1, 103
279 : 1, 3, 9, 31, 93, 279
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,827,837,103,279, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
827:827
837:3x 3x 3x 31
103:103
279:3x 3x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 31 = 279
Therefore, the value for common factors is 279.
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 = 16191862247682/(1x279)
LCM = 16191862247682/279
LCM = 58035348558
Thus, we can understand that the LCM of 814,827,837,103,279 is 58035348558.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 814, 827, 837, 103, 279
1. What is the LCM of 814, 827, 837, 103, 279?
Answer: LCM of 814, 827, 837, 103, 279 is 58035348558.
2. How to calculate the LCM of 814, 827, 837, 103, 279?
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, 827, 837, 103, 279.
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}.