LCM of 318, 586, 714, 891, 684
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 318, 586, 714, 891, 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 318, 586, 714, 891, 684. So, keep reading to learn more.
Given numbers are 318,586,714,891,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 318,586,714,891,684 is 125135849916.
Find LCM of 318,586,714,891,684 with Prime Factorization
| 2 | 318, 586, 714, 891, 684 |
| 3 | 159, 293, 357, 891, 342 |
| 3 | 53, 293, 119, 297, 114 |
| 53, 293, 119, 99, 38 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 53 x 293 x 119 x 99 x 38 = 125135849916
Therefore, the lowest common multiple of 318,586,714,891,684 is 125135849916.
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.
318 x 586 x 714 x 891 x 684 = 81088030745568
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.
318 : 1, 2, 3, 6, 53, 106, 159, 318
586 : 1, 2, 293, 586
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
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 318,586,714,891,684, is 1.
Now, the common factors can be found like this.
318:2x 3x 53
586:2x 293
714:2x 3x 7x 17
891:3x 3x 3x 3x 11
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 3x 3x 3x 3 = 648
Therefore, the value for common factors is 648.
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 = 81088030745568/(1x648)
LCM = 81088030745568/648
LCM = 125135849916
Thus, we can understand that the LCM of 318,586,714,891,684 is 125135849916.
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FAQs on LCM of 318, 586, 714, 891, 684
1. What is the LCM of 318, 586, 714, 891, 684?
Answer: LCM of 318, 586, 714, 891, 684 is 125135849916.
2. How to calculate the LCM of 318, 586, 714, 891, 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 318, 586, 714, 891, 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}.