LCM of 681, 908, 328, 984
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 681, 908, 328, 984 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 681, 908, 328, 984. So, keep reading to learn more.
Given numbers are 681,908,328,984
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 681,908,328,984 is 223368.
Find LCM of 681,908,328,984 with Prime Factorization
| 2 | 681, 908, 328, 984 |
| 2 | 681, 454, 164, 492 |
| 2 | 681, 227, 82, 246 |
| 3 | 681, 227, 41, 123 |
| 41 | 227, 227, 41, 41 |
| 227 | 227, 227, 1, 1 |
| 1, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 41 x 227 x 1 x 1 x 1 x 1 = 223368
Therefore, the lowest common multiple of 681,908,328,984 is 223368.
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.
681 x 908 x 328 x 984 = 199573053696
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.
681 : 1, 3, 227, 681
908 : 1, 2, 4, 227, 454, 908
328 : 1, 2, 4, 8, 41, 82, 164, 328
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 681,908,328,984, is 1.
Now, the common factors can be found like this.
681:3x 227
908:2x 2x 227
328:2x 2x 2x 41
984:2x 2x 2x 3x 41
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 41x 227 = 893472
Therefore, the value for common factors is 893472.
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 = 199573053696/(1x893472)
LCM = 199573053696/893472
LCM = 223368
Thus, we can understand that the LCM of 681,908,328,984 is 223368.
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FAQs on LCM of 681, 908, 328, 984
1. What is the LCM of 681, 908, 328, 984?
Answer: LCM of 681, 908, 328, 984 is 223368.
2. How to calculate the LCM of 681, 908, 328, 984?
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 681, 908, 328, 984.
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}.