LCM of 931, 675, 399, 804, 428
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 931, 675, 399, 804, 428 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 931, 675, 399, 804, 428. So, keep reading to learn more.
Given numbers are 931,675,399,804,428
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 931,675,399,804,428 is 18020715300.
Find LCM of 931,675,399,804,428 with Prime Factorization
| 2 | 931, 675, 399, 804, 428 |
| 2 | 931, 675, 399, 402, 214 |
| 3 | 931, 675, 399, 201, 107 |
| 7 | 931, 225, 133, 67, 107 |
| 19 | 19, 225, 133, 67, 107 |
| 1, 225, 7, 67, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 19 x 1 x 225 x 7 x 67 x 107 = 18020715300
Therefore, the lowest common multiple of 931,675,399,804,428 is 18020715300.
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.
931 x 675 x 399 x 804 x 428 = 86283184856400
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.
931 : 1, 7, 19, 49, 133, 931
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
399 : 1, 3, 7, 19, 21, 57, 133, 399
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
428 : 1, 2, 4, 107, 214, 428
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 931,675,399,804,428, is 1.
Now, the common factors can be found like this.
931:7x 7x 19
675:3x 3x 3x 5x 5
399:3x 7x 19
804:2x 2x 3x 67
428:2x 2x 107
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 7x 19 = 4788
Therefore, the value for common factors is 4788.
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 = 86283184856400/(1x4788)
LCM = 86283184856400/4788
LCM = 18020715300
Thus, we can understand that the LCM of 931,675,399,804,428 is 18020715300.
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FAQs on LCM of 931, 675, 399, 804, 428
1. What is the LCM of 931, 675, 399, 804, 428?
Answer: LCM of 931, 675, 399, 804, 428 is 18020715300.
2. How to calculate the LCM of 931, 675, 399, 804, 428?
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 931, 675, 399, 804, 428.
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}.