LCM of 308, 783, 928, 266, 884
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 308, 783, 928, 266, 884 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 308, 783, 928, 266, 884. So, keep reading to learn more.
Given numbers are 308,783,928,266,884
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 308,783,928,266,884 is 8101181088.
Find LCM of 308,783,928,266,884 with Prime Factorization
| 2 | 308, 783, 928, 266, 884 |
| 2 | 154, 783, 464, 133, 442 |
| 7 | 77, 783, 232, 133, 221 |
| 29 | 11, 783, 232, 19, 221 |
| 11, 27, 8, 19, 221 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 29 x 11 x 27 x 8 x 19 x 221 = 8101181088
Therefore, the lowest common multiple of 308,783,928,266,884 is 8101181088.
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.
308 x 783 x 928 x 266 x 884 = 52625272347648
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.
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
783 : 1, 3, 9, 27, 29, 87, 261, 783
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
266 : 1, 2, 7, 14, 19, 38, 133, 266
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,783,928,266,884, is 1.
Now, the common factors can be found like this.
308:2x 2x 7x 11
783:3x 3x 3x 29
928:2x 2x 2x 2x 2x 29
266:2x 7x 19
884:2x 2x 13x 17
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 2x 2x 7x 29 = 6496
Therefore, the value for common factors is 6496.
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 = 52625272347648/(1x6496)
LCM = 52625272347648/6496
LCM = 8101181088
Thus, we can understand that the LCM of 308,783,928,266,884 is 8101181088.
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FAQs on LCM of 308, 783, 928, 266, 884
1. What is the LCM of 308, 783, 928, 266, 884?
Answer: LCM of 308, 783, 928, 266, 884 is 8101181088.
2. How to calculate the LCM of 308, 783, 928, 266, 884?
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 308, 783, 928, 266, 884.
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}.