LCM of 684, 578, 998, 728, 156
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 684, 578, 998, 728, 156 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, 578, 998, 728, 156. So, keep reading to learn more.
Given numbers are 684,578,998,728,156
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 684,578,998,728,156 is 17952538968.
Find LCM of 684,578,998,728,156 with Prime Factorization
| 2 | 684, 578, 998, 728, 156 |
| 2 | 342, 289, 499, 364, 78 |
| 3 | 171, 289, 499, 182, 39 |
| 13 | 57, 289, 499, 182, 13 |
| 57, 289, 499, 14, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 57 x 289 x 499 x 14 x 1 = 17952538968
Therefore, the lowest common multiple of 684,578,998,728,156 is 17952538968.
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 578 x 998 x 728 x 156 = 44809537264128
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
578 : 1, 2, 17, 34, 289, 578
998 : 1, 2, 499, 998
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,578,998,728,156, is 2.
Now, the common factors can be found like this.
684:2x 2x 3x 3x 19
578:2x 17x 17
998:2x 499
728:2x 2x 2x 7x 13
156:2x 2x 3x 13
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 2x 3x 13 = 1248
Therefore, the value for common factors is 1248.
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 = 44809537264128/(2x1248)
LCM = 44809537264128/2496
LCM = 17952538968
Thus, we can understand that the LCM of 684,578,998,728,156 is 17952538968.
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FAQs on LCM of 684, 578, 998, 728, 156
1. What is the LCM of 684, 578, 998, 728, 156?
Answer: LCM of 684, 578, 998, 728, 156 is 17952538968.
2. How to calculate the LCM of 684, 578, 998, 728, 156?
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, 578, 998, 728, 156.
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}.