LCM of 559, 470, 840, 105
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 559, 470, 840, 105 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 559, 470, 840, 105. So, keep reading to learn more.
Given numbers are 559,470,840,105
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 559,470,840,105 is 22069320.
Find LCM of 559,470,840,105 with Prime Factorization
| 2 | 559, 470, 840, 105 |
| 3 | 559, 235, 420, 105 |
| 5 | 559, 235, 140, 35 |
| 7 | 559, 47, 28, 7 |
| 559, 47, 4, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 559 x 47 x 4 x 1 = 22069320
Therefore, the lowest common multiple of 559,470,840,105 is 22069320.
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.
559 x 470 x 840 x 105 = 23172786000
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.
559 : 1, 13, 43, 559
470 : 1, 2, 5, 10, 47, 94, 235, 470
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
105 : 1, 3, 5, 7, 15, 21, 35, 105
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 559,470,840,105, is 1.
Now, the common factors can be found like this.
559:13x 43
470:2x 5x 47
840:2x 2x 2x 3x 5x 7
105:3x 5x 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 3x 5x 5x 7 = 1050
Therefore, the value for common factors is 1050.
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 = 23172786000/(1x1050)
LCM = 23172786000/1050
LCM = 22069320
Thus, we can understand that the LCM of 559,470,840,105 is 22069320.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 559, 470, 840, 105
1. What is the LCM of 559, 470, 840, 105?
Answer: LCM of 559, 470, 840, 105 is 22069320.
2. How to calculate the LCM of 559, 470, 840, 105?
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 559, 470, 840, 105.
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}.