LCM of 984, 584, 960, 974
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 984, 584, 960, 974 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, 584, 960, 974. So, keep reading to learn more.
Given numbers are 984,584,960,974
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 984,584,960,974 is 1399287360.
Find LCM of 984,584,960,974 with Prime Factorization
| 2 | 984, 584, 960, 974 |
| 2 | 492, 292, 480, 487 |
| 2 | 246, 146, 240, 487 |
| 3 | 123, 73, 120, 487 |
| 41, 73, 40, 487 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 41 x 73 x 40 x 487 = 1399287360
Therefore, the lowest common multiple of 984,584,960,974 is 1399287360.
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 584 x 960 x 974 = 537326346240
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
584 : 1, 2, 4, 8, 73, 146, 292, 584
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
974 : 1, 2, 487, 974
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 984,584,960,974, is 2.
Now, the common factors can be found like this.
984:2x 2x 2x 3x 41
584:2x 2x 2x 73
960:2x 2x 2x 2x 2x 2x 3x 5
974:2x 487
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 3 = 192
Therefore, the value for common factors is 192.
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 = 537326346240/(2x192)
LCM = 537326346240/384
LCM = 1399287360
Thus, we can understand that the LCM of 984,584,960,974 is 1399287360.
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FAQs on LCM of 984, 584, 960, 974
1. What is the LCM of 984, 584, 960, 974?
Answer: LCM of 984, 584, 960, 974 is 1399287360.
2. How to calculate the LCM of 984, 584, 960, 974?
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, 584, 960, 974.
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}.