LCM of 928, 836, 899, 874, 684
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 928, 836, 899, 874, 684 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 928, 836, 899, 874, 684. So, keep reading to learn more.
Given numbers are 928,836,899,874,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 928,836,899,874,684 is 1244589984.
Find LCM of 928,836,899,874,684 with Prime Factorization
| 2 | 928, 836, 899, 874, 684 |
| 2 | 464, 418, 899, 437, 342 |
| 19 | 232, 209, 899, 437, 171 |
| 29 | 232, 11, 899, 23, 9 |
| 8, 11, 31, 23, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 29 x 8 x 11 x 31 x 23 x 9 = 1244589984
Therefore, the lowest common multiple of 928,836,899,874,684 is 1244589984.
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.
928 x 836 x 899 x 874 x 684 = 416947601359872
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.
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
899 : 1, 29, 31, 899
874 : 1, 2, 19, 23, 38, 46, 437, 874
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 928,836,899,874,684, is 1.
Now, the common factors can be found like this.
928:2x 2x 2x 2x 2x 29
836:2x 2x 11x 19
899:29x 31
874:2x 19x 23
684:2x 2x 3x 3x 19
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 19x 19x 29 = 335008
Therefore, the value for common factors is 335008.
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 = 416947601359872/(1x335008)
LCM = 416947601359872/335008
LCM = 1244589984
Thus, we can understand that the LCM of 928,836,899,874,684 is 1244589984.
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FAQs on LCM of 928, 836, 899, 874, 684
1. What is the LCM of 928, 836, 899, 874, 684?
Answer: LCM of 928, 836, 899, 874, 684 is 1244589984.
2. How to calculate the LCM of 928, 836, 899, 874, 684?
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 928, 836, 899, 874, 684.
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}.