LCM of 428, 124, 873, 930
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 428, 124, 873, 930 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, 124, 873, 930. So, keep reading to learn more.
Given numbers are 428,124,873,930
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 428,124,873,930 is 57914820.
Find LCM of 428,124,873,930 with Prime Factorization
| 2 | 428, 124, 873, 930 |
| 2 | 214, 62, 873, 465 |
| 3 | 107, 31, 873, 465 |
| 31 | 107, 31, 291, 155 |
| 107, 1, 291, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 31 x 107 x 1 x 291 x 5 = 57914820
Therefore, the lowest common multiple of 428,124,873,930 is 57914820.
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 124 x 873 x 930 = 43088626080
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
124 : 1, 2, 4, 31, 62, 124
873 : 1, 3, 9, 97, 291, 873
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,124,873,930, is 1.
Now, the common factors can be found like this.
428:2x 2x 107
124:2x 2x 31
873:3x 3x 97
930:2x 3x 5x 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 3x 31 = 744
Therefore, the value for common factors is 744.
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 = 43088626080/(1x744)
LCM = 43088626080/744
LCM = 57914820
Thus, we can understand that the LCM of 428,124,873,930 is 57914820.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 428, 124, 873, 930
1. What is the LCM of 428, 124, 873, 930?
Answer: LCM of 428, 124, 873, 930 is 57914820.
2. How to calculate the LCM of 428, 124, 873, 930?
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, 124, 873, 930.
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}.