LCM of 984, 270, 980, 682, 896
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 984, 270, 980, 682, 896 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, 270, 980, 682, 896. So, keep reading to learn more.
Given numbers are 984,270,980,682,896
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 984,270,980,682,896 is 11837992320.
Find LCM of 984,270,980,682,896 with Prime Factorization
| 2 | 984, 270, 980, 682, 896 |
| 2 | 492, 135, 490, 341, 448 |
| 2 | 246, 135, 245, 341, 224 |
| 3 | 123, 135, 245, 341, 112 |
| 5 | 41, 45, 245, 341, 112 |
| 7 | 41, 9, 49, 341, 112 |
| 41, 9, 7, 341, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 7 x 41 x 9 x 7 x 341 x 16 = 11837992320
Therefore, the lowest common multiple of 984,270,980,682,896 is 11837992320.
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 270 x 980 x 682 x 896 = 159102616780800
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
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
682 : 1, 2, 11, 22, 31, 62, 341, 682
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 984,270,980,682,896, is 2.
Now, the common factors can be found like this.
984:2x 2x 2x 3x 41
270:2x 3x 3x 3x 5
980:2x 2x 5x 7x 7
682:2x 11x 31
896:2x 2x 2x 2x 2x 2x 2x 7
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 3x 5x 7 = 6720
Therefore, the value for common factors is 6720.
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 = 159102616780800/(2x6720)
LCM = 159102616780800/13440
LCM = 11837992320
Thus, we can understand that the LCM of 984,270,980,682,896 is 11837992320.
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FAQs on LCM of 984, 270, 980, 682, 896
1. What is the LCM of 984, 270, 980, 682, 896?
Answer: LCM of 984, 270, 980, 682, 896 is 11837992320.
2. How to calculate the LCM of 984, 270, 980, 682, 896?
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, 270, 980, 682, 896.
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}.