LCM of 684, 111, 839, 885, 840
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 684, 111, 839, 885, 840 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, 111, 839, 885, 840. So, keep reading to learn more.
Given numbers are 684,111,839,885,840
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 684,111,839,885,840 is 87693991560.
Find LCM of 684,111,839,885,840 with Prime Factorization
| 2 | 684, 111, 839, 885, 840 |
| 2 | 342, 111, 839, 885, 420 |
| 3 | 171, 111, 839, 885, 210 |
| 5 | 57, 37, 839, 295, 70 |
| 57, 37, 839, 59, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 57 x 37 x 839 x 59 x 14 = 87693991560
Therefore, the lowest common multiple of 684,111,839,885,840 is 87693991560.
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 111 x 839 x 885 x 840 = 47354755442400
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
111 : 1, 3, 37, 111
839 : 1, 839
885 : 1, 3, 5, 15, 59, 177, 295, 885
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,111,839,885,840, is 1.
Now, the common factors can be found like this.
684:2x 2x 3x 3x 19
111:3x 37
839:839
885:3x 5x 59
840:2x 2x 2x 3x 5x 7
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 3x 3x 3x 5 = 540
Therefore, the value for common factors is 540.
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 = 47354755442400/(1x540)
LCM = 47354755442400/540
LCM = 87693991560
Thus, we can understand that the LCM of 684,111,839,885,840 is 87693991560.
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FAQs on LCM of 684, 111, 839, 885, 840
1. What is the LCM of 684, 111, 839, 885, 840?
Answer: LCM of 684, 111, 839, 885, 840 is 87693991560.
2. How to calculate the LCM of 684, 111, 839, 885, 840?
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, 111, 839, 885, 840.
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}.