LCM of 984, 808, 679, 820, 146
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 984, 808, 679, 820, 146 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, 808, 679, 820, 146. So, keep reading to learn more.
Given numbers are 984,808,679,820,146
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 984,808,679,820,146 is 24630833640.
Find LCM of 984,808,679,820,146 with Prime Factorization
| 2 | 984, 808, 679, 820, 146 |
| 2 | 492, 404, 679, 410, 73 |
| 2 | 246, 202, 679, 205, 73 |
| 41 | 123, 101, 679, 205, 73 |
| 3, 101, 679, 5, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 41 x 3 x 101 x 679 x 5 x 73 = 24630833640
Therefore, the lowest common multiple of 984,808,679,820,146 is 24630833640.
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 808 x 679 x 820 x 146 = 64631307471360
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
808 : 1, 2, 4, 8, 101, 202, 404, 808
679 : 1, 7, 97, 679
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
146 : 1, 2, 73, 146
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 984,808,679,820,146, is 1.
Now, the common factors can be found like this.
984:2x 2x 2x 3x 41
808:2x 2x 2x 101
679:7x 97
820:2x 2x 5x 41
146:2x 73
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 41 = 2624
Therefore, the value for common factors is 2624.
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 = 64631307471360/(1x2624)
LCM = 64631307471360/2624
LCM = 24630833640
Thus, we can understand that the LCM of 984,808,679,820,146 is 24630833640.
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FAQs on LCM of 984, 808, 679, 820, 146
1. What is the LCM of 984, 808, 679, 820, 146?
Answer: LCM of 984, 808, 679, 820, 146 is 24630833640.
2. How to calculate the LCM of 984, 808, 679, 820, 146?
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, 808, 679, 820, 146.
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}.