LCM of 428, 105, 599, 940, 434
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 428, 105, 599, 940, 434 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 428, 105, 599, 940, 434. So, keep reading to learn more.
Given numbers are 428,105,599,940,434
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 428,105,599,940,434 is 39221070420.
Find LCM of 428,105,599,940,434 with Prime Factorization
| 2 | 428, 105, 599, 940, 434 |
| 2 | 214, 105, 599, 470, 217 |
| 5 | 107, 105, 599, 235, 217 |
| 7 | 107, 21, 599, 47, 217 |
| 107, 3, 599, 47, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 107 x 3 x 599 x 47 x 31 = 39221070420
Therefore, the lowest common multiple of 428,105,599,940,434 is 39221070420.
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.
428 x 105 x 599 x 940 x 434 = 10981899717600
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.
428 : 1, 2, 4, 107, 214, 428
105 : 1, 3, 5, 7, 15, 21, 35, 105
599 : 1, 599
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
434 : 1, 2, 7, 14, 31, 62, 217, 434
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,105,599,940,434, is 1.
Now, the common factors can be found like this.
428:2x 2x 107
105:3x 5x 7
599:599
940:2x 2x 5x 47
434:2x 7x 31
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 5x 7 = 280
Therefore, the value for common factors is 280.
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 = 10981899717600/(1x280)
LCM = 10981899717600/280
LCM = 39221070420
Thus, we can understand that the LCM of 428,105,599,940,434 is 39221070420.
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FAQs on LCM of 428, 105, 599, 940, 434
1. What is the LCM of 428, 105, 599, 940, 434?
Answer: LCM of 428, 105, 599, 940, 434 is 39221070420.
2. How to calculate the LCM of 428, 105, 599, 940, 434?
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 428, 105, 599, 940, 434.
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}.