LCM of 579, 579, 660, 906
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 579, 579, 660, 906 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 579, 579, 660, 906. So, keep reading to learn more.
Given numbers are 579,579,660,906
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 579,579,660,906 is 19234380.
Find LCM of 579,579,660,906 with Prime Factorization
| 2 | 579, 579, 660, 906 |
| 3 | 579, 579, 330, 453 |
| 193 | 193, 193, 110, 151 |
| 1, 1, 110, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 193 x 1 x 1 x 110 x 151 = 19234380
Therefore, the lowest common multiple of 579,579,660,906 is 19234380.
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.
579 x 579 x 660 x 906 = 200460708360
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.
579 : 1, 3, 193, 579
579 : 1, 3, 193, 579
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
906 : 1, 2, 3, 6, 151, 302, 453, 906
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 579,579,660,906, is 3.
Now, the common factors can be found like this.
579:3x 193
579:3x 193
660:2x 2x 3x 5x 11
906:2x 3x 151
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 193 = 3474
Therefore, the value for common factors is 3474.
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 = 200460708360/(3x3474)
LCM = 200460708360/10422
LCM = 19234380
Thus, we can understand that the LCM of 579,579,660,906 is 19234380.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 579, 579, 660, 906
1. What is the LCM of 579, 579, 660, 906?
Answer: LCM of 579, 579, 660, 906 is 19234380.
2. How to calculate the LCM of 579, 579, 660, 906?
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 579, 579, 660, 906.
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}.