Find the LCM of 684, 341, 196, 697, 798 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, 341, 196, 697, 798. So, keep reading to learn more.
Given numbers are 684,341,196,697,798
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 684,341,196,697,798 is 7965982332.
Find LCM of 684,341,196,697,798 with Prime Factorization
2 | 684, 341, 196, 697, 798 |
2 | 342, 341, 98, 697, 399 |
3 | 171, 341, 49, 697, 399 |
7 | 57, 341, 49, 697, 133 |
19 | 57, 341, 7, 697, 19 |
3, 341, 7, 697, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 19 x 3 x 341 x 7 x 697 x 1 = 7965982332
Therefore, the lowest common multiple of 684,341,196,697,798 is 7965982332.
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 341 x 196 x 697 x 798 = 25427415603744
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
341 : 1, 11, 31, 341
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
697 : 1, 17, 41, 697
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,341,196,697,798, is 1.
Now, the common factors can be found like this.
684:2x 2x 3x 3x 19
341:11x 31
196:2x 2x 7x 7
697:17x 41
798:2x 3x 7x 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 7x 19 = 3192
Therefore, the value for common factors is 3192.
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 = 25427415603744/(1x3192)
LCM = 25427415603744/3192
LCM = 7965982332
Thus, we can understand that the LCM of 684,341,196,697,798 is 7965982332.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 684, 341, 196, 697, 798?
Answer: LCM of 684, 341, 196, 697, 798 is 7965982332.
2. How to calculate the LCM of 684, 341, 196, 697, 798?
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, 341, 196, 697, 798.
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}.