LCM of 984, 720, 846, 554, 896
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 984, 720, 846, 554, 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, 720, 846, 554, 896. So, keep reading to learn more.
Given numbers are 984,720,846,554,896
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 984,720,846,554,896 is 21521969280.
Find LCM of 984,720,846,554,896 with Prime Factorization
| 2 | 984, 720, 846, 554, 896 |
| 2 | 492, 360, 423, 277, 448 |
| 2 | 246, 180, 423, 277, 224 |
| 2 | 123, 90, 423, 277, 112 |
| 3 | 123, 45, 423, 277, 56 |
| 3 | 41, 15, 141, 277, 56 |
| 41, 5, 47, 277, 56 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 41 x 5 x 47 x 277 x 56 = 21521969280
Therefore, the lowest common multiple of 984,720,846,554,896 is 21521969280.
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 720 x 846 x 554 x 896 = 297519703326720
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
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
554 : 1, 2, 277, 554
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 984,720,846,554,896, is 2.
Now, the common factors can be found like this.
984:2x 2x 2x 3x 41
720:2x 2x 2x 2x 3x 3x 5
846:2x 3x 3x 47
554:2x 277
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 2x 2x 3x 3x 3 = 6912
Therefore, the value for common factors is 6912.
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 = 297519703326720/(2x6912)
LCM = 297519703326720/13824
LCM = 21521969280
Thus, we can understand that the LCM of 984,720,846,554,896 is 21521969280.
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FAQs on LCM of 984, 720, 846, 554, 896
1. What is the LCM of 984, 720, 846, 554, 896?
Answer: LCM of 984, 720, 846, 554, 896 is 21521969280.
2. How to calculate the LCM of 984, 720, 846, 554, 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, 720, 846, 554, 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}.