LCM of 926, 402, 285, 589, 660
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 926, 402, 285, 589, 660 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 926, 402, 285, 589, 660. So, keep reading to learn more.
Given numbers are 926,402,285,589,660
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 926,402,285,589,660 is 12059103540.
Find LCM of 926,402,285,589,660 with Prime Factorization
| 2 | 926, 402, 285, 589, 660 |
| 3 | 463, 201, 285, 589, 330 |
| 5 | 463, 67, 95, 589, 110 |
| 19 | 463, 67, 19, 589, 22 |
| 463, 67, 1, 31, 22 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 19 x 463 x 67 x 1 x 31 x 22 = 12059103540
Therefore, the lowest common multiple of 926,402,285,589,660 is 12059103540.
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.
926 x 402 x 285 x 589 x 660 = 41242134106800
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.
926 : 1, 2, 463, 926
402 : 1, 2, 3, 6, 67, 134, 201, 402
285 : 1, 3, 5, 15, 19, 57, 95, 285
589 : 1, 19, 31, 589
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 926,402,285,589,660, is 1.
Now, the common factors can be found like this.
926:2x 463
402:2x 3x 67
285:3x 5x 19
589:19x 31
660:2x 2x 3x 5x 11
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 3x 3x 5x 19 = 3420
Therefore, the value for common factors is 3420.
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 = 41242134106800/(1x3420)
LCM = 41242134106800/3420
LCM = 12059103540
Thus, we can understand that the LCM of 926,402,285,589,660 is 12059103540.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 926, 402, 285, 589, 660
1. What is the LCM of 926, 402, 285, 589, 660?
Answer: LCM of 926, 402, 285, 589, 660 is 12059103540.
2. How to calculate the LCM of 926, 402, 285, 589, 660?
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 926, 402, 285, 589, 660.
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}.