LCM of 684, 901, 639, 998
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 684, 901, 639, 998 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, 901, 639, 998. So, keep reading to learn more.
Given numbers are 684,901,639,998
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 684,901,639,998 is 21834325836.
Find LCM of 684,901,639,998 with Prime Factorization
| 2 | 684, 901, 639, 998 |
| 3 | 342, 901, 639, 499 |
| 3 | 114, 901, 213, 499 |
| 38, 901, 71, 499 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 38 x 901 x 71 x 499 = 21834325836
Therefore, the lowest common multiple of 684,901,639,998 is 21834325836.
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 901 x 639 x 998 = 393017865048
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
901 : 1, 17, 53, 901
639 : 1, 3, 9, 71, 213, 639
998 : 1, 2, 499, 998
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,901,639,998, is 1.
Now, the common factors can be found like this.
684:2x 2x 3x 3x 19
901:17x 53
639:3x 3x 71
998:2x 499
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 393017865048/(1x18)
LCM = 393017865048/18
LCM = 21834325836
Thus, we can understand that the LCM of 684,901,639,998 is 21834325836.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 684, 901, 639, 998
1. What is the LCM of 684, 901, 639, 998?
Answer: LCM of 684, 901, 639, 998 is 21834325836.
2. How to calculate the LCM of 684, 901, 639, 998?
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, 901, 639, 998.
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}.