LCM of 984, 964, 904, 964, 355
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 984, 964, 904, 964, 355 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 984, 964, 904, 964, 355. So, keep reading to learn more.
Given numbers are 984,964,904,964,355
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 984,964,904,964,355 is 9513031560.
Find LCM of 984,964,904,964,355 with Prime Factorization
| 2 | 984, 964, 904, 964, 355 |
| 2 | 492, 482, 452, 482, 355 |
| 2 | 246, 241, 226, 241, 355 |
| 241 | 123, 241, 113, 241, 355 |
| 123, 1, 113, 1, 355 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 241 x 123 x 1 x 113 x 1 x 355 = 9513031560
Therefore, the lowest common multiple of 984,964,904,964,355 is 9513031560.
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.
984 x 964 x 904 x 964 x 355 = 293457997562880
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.
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
964 : 1, 2, 4, 241, 482, 964
904 : 1, 2, 4, 8, 113, 226, 452, 904
964 : 1, 2, 4, 241, 482, 964
355 : 1, 5, 71, 355
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 984,964,904,964,355, is 1.
Now, the common factors can be found like this.
984:2x 2x 2x 3x 41
964:2x 2x 241
904:2x 2x 2x 113
964:2x 2x 241
355:5x 71
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 2x 2x 241 = 30848
Therefore, the value for common factors is 30848.
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 = 293457997562880/(1x30848)
LCM = 293457997562880/30848
LCM = 9513031560
Thus, we can understand that the LCM of 984,964,904,964,355 is 9513031560.
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FAQs on LCM of 984, 964, 904, 964, 355
1. What is the LCM of 984, 964, 904, 964, 355?
Answer: LCM of 984, 964, 904, 964, 355 is 9513031560.
2. How to calculate the LCM of 984, 964, 904, 964, 355?
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 984, 964, 904, 964, 355.
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}.