LCM of 684, 660, 905, 867, 848
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 684, 660, 905, 867, 848 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, 660, 905, 867, 848. So, keep reading to learn more.
Given numbers are 684,660,905,867,848
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 684,660,905,867,848 is 417187290960.
Find LCM of 684,660,905,867,848 with Prime Factorization
| 2 | 684, 660, 905, 867, 848 |
| 2 | 342, 330, 905, 867, 424 |
| 3 | 171, 165, 905, 867, 212 |
| 5 | 57, 55, 905, 289, 212 |
| 57, 11, 181, 289, 212 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 57 x 11 x 181 x 289 x 212 = 417187290960
Therefore, the lowest common multiple of 684,660,905,867,848 is 417187290960.
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 660 x 905 x 867 x 848 = 300374849491200
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
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
905 : 1, 5, 181, 905
867 : 1, 3, 17, 51, 289, 867
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,660,905,867,848, is 1.
Now, the common factors can be found like this.
684:2x 2x 3x 3x 19
660:2x 2x 3x 5x 11
905:5x 181
867:3x 17x 17
848:2x 2x 2x 2x 53
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 5 = 720
Therefore, the value for common factors is 720.
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 = 300374849491200/(1x720)
LCM = 300374849491200/720
LCM = 417187290960
Thus, we can understand that the LCM of 684,660,905,867,848 is 417187290960.
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FAQs on LCM of 684, 660, 905, 867, 848
1. What is the LCM of 684, 660, 905, 867, 848?
Answer: LCM of 684, 660, 905, 867, 848 is 417187290960.
2. How to calculate the LCM of 684, 660, 905, 867, 848?
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, 660, 905, 867, 848.
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}.