LCM of 684, 874, 861, 992
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 684, 874, 861, 992 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, 874, 861, 992. So, keep reading to learn more.
Given numbers are 684,874,861,992
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 684,874,861,992 is 1119740832.
Find LCM of 684,874,861,992 with Prime Factorization
| 2 | 684, 874, 861, 992 |
| 2 | 342, 437, 861, 496 |
| 3 | 171, 437, 861, 248 |
| 19 | 57, 437, 287, 248 |
| 3, 23, 287, 248 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 3 x 23 x 287 x 248 = 1119740832
Therefore, the lowest common multiple of 684,874,861,992 is 1119740832.
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 874 x 861 x 992 = 510601819392
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
874 : 1, 2, 19, 23, 38, 46, 437, 874
861 : 1, 3, 7, 21, 41, 123, 287, 861
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,874,861,992, is 1.
Now, the common factors can be found like this.
684:2x 2x 3x 3x 19
874:2x 19x 23
861:3x 7x 41
992:2x 2x 2x 2x 2x 31
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 19 = 456
Therefore, the value for common factors is 456.
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 = 510601819392/(1x456)
LCM = 510601819392/456
LCM = 1119740832
Thus, we can understand that the LCM of 684,874,861,992 is 1119740832.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 684, 874, 861, 992
1. What is the LCM of 684, 874, 861, 992?
Answer: LCM of 684, 874, 861, 992 is 1119740832.
2. How to calculate the LCM of 684, 874, 861, 992?
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, 874, 861, 992.
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}.