LCM of 102, 819, 939, 676, 868
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 102, 819, 939, 676, 868 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 102, 819, 939, 676, 868. So, keep reading to learn more.
Given numbers are 102,819,939,676,868
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 102,819,939,676,868 is 7024933188.
Find LCM of 102,819,939,676,868 with Prime Factorization
| 2 | 102, 819, 939, 676, 868 |
| 2 | 51, 819, 939, 338, 434 |
| 3 | 51, 819, 939, 169, 217 |
| 7 | 17, 273, 313, 169, 217 |
| 13 | 17, 39, 313, 169, 31 |
| 17, 3, 313, 13, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 13 x 17 x 3 x 313 x 13 x 31 = 7024933188
Therefore, the lowest common multiple of 102,819,939,676,868 is 7024933188.
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.
102 x 819 x 939 x 676 x 868 = 46027362247776
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.
102 : 1, 2, 3, 6, 17, 34, 51, 102
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
939 : 1, 3, 313, 939
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 102,819,939,676,868, is 1.
Now, the common factors can be found like this.
102:2x 3x 17
819:3x 3x 7x 13
939:3x 313
676:2x 2x 13x 13
868:2x 2x 7x 31
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 7x 13 = 6552
Therefore, the value for common factors is 6552.
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 = 46027362247776/(1x6552)
LCM = 46027362247776/6552
LCM = 7024933188
Thus, we can understand that the LCM of 102,819,939,676,868 is 7024933188.
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FAQs on LCM of 102, 819, 939, 676, 868
1. What is the LCM of 102, 819, 939, 676, 868?
Answer: LCM of 102, 819, 939, 676, 868 is 7024933188.
2. How to calculate the LCM of 102, 819, 939, 676, 868?
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 102, 819, 939, 676, 868.
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}.