LCM of 684, 927, 642, 826, 376
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 684, 927, 642, 826, 376 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 684, 927, 642, 826, 376. So, keep reading to learn more.
Given numbers are 684,927,642,826,376
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 684,927,642,826,376 is 292654367208.
Find LCM of 684,927,642,826,376 with Prime Factorization
| 2 | 684, 927, 642, 826, 376 |
| 2 | 342, 927, 321, 413, 188 |
| 3 | 171, 927, 321, 413, 94 |
| 3 | 57, 309, 107, 413, 94 |
| 19, 103, 107, 413, 94 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 19 x 103 x 107 x 413 x 94 = 292654367208
Therefore, the lowest common multiple of 684,927,642,826,376 is 292654367208.
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.
684 x 927 x 642 x 826 x 376 = 126426686633856
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.
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
927 : 1, 3, 9, 103, 309, 927
642 : 1, 2, 3, 6, 107, 214, 321, 642
826 : 1, 2, 7, 14, 59, 118, 413, 826
376 : 1, 2, 4, 8, 47, 94, 188, 376
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,927,642,826,376, is 1.
Now, the common factors can be found like this.
684:2x 2x 3x 3x 19
927:3x 3x 103
642:2x 3x 107
826:2x 7x 59
376:2x 2x 2x 47
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 3x 3x 3 = 432
Therefore, the value for common factors is 432.
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 = 126426686633856/(1x432)
LCM = 126426686633856/432
LCM = 292654367208
Thus, we can understand that the LCM of 684,927,642,826,376 is 292654367208.
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FAQs on LCM of 684, 927, 642, 826, 376
1. What is the LCM of 684, 927, 642, 826, 376?
Answer: LCM of 684, 927, 642, 826, 376 is 292654367208.
2. How to calculate the LCM of 684, 927, 642, 826, 376?
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 684, 927, 642, 826, 376.
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}.