LCM of 398, 660, 796, 792, 685
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 398, 660, 796, 792, 685 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 398, 660, 796, 792, 685. So, keep reading to learn more.
Given numbers are 398,660,796,792,685
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 398,660,796,792,685 is 107961480.
Find LCM of 398,660,796,792,685 with Prime Factorization
| 2 | 398, 660, 796, 792, 685 |
| 2 | 199, 330, 398, 396, 685 |
| 3 | 199, 165, 199, 198, 685 |
| 5 | 199, 55, 199, 66, 685 |
| 11 | 199, 11, 199, 66, 137 |
| 199 | 199, 1, 199, 6, 137 |
| 1, 1, 1, 6, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 199 x 1 x 1 x 1 x 6 x 137 = 107961480
Therefore, the lowest common multiple of 398,660,796,792,685 is 107961480.
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.
398 x 660 x 796 x 792 x 685 = 113437286265600
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.
398 : 1, 2, 199, 398
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
796 : 1, 2, 4, 199, 398, 796
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
685 : 1, 5, 137, 685
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,660,796,792,685, is 1.
Now, the common factors can be found like this.
398:2x 199
660:2x 2x 3x 5x 11
796:2x 2x 199
792:2x 2x 2x 3x 3x 11
685:5x 137
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 5x 11x 199 = 1050720
Therefore, the value for common factors is 1050720.
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 = 113437286265600/(1x1050720)
LCM = 113437286265600/1050720
LCM = 107961480
Thus, we can understand that the LCM of 398,660,796,792,685 is 107961480.
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FAQs on LCM of 398, 660, 796, 792, 685
1. What is the LCM of 398, 660, 796, 792, 685?
Answer: LCM of 398, 660, 796, 792, 685 is 107961480.
2. How to calculate the LCM of 398, 660, 796, 792, 685?
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 398, 660, 796, 792, 685.
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}.