LCM of 537, 428, 850, 396, 930
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 537, 428, 850, 396, 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 537, 428, 850, 396, 930. So, keep reading to learn more.
Given numbers are 537,428,850,396,930
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 537,428,850,396,930 is 99926946900.
Find LCM of 537,428,850,396,930 with Prime Factorization
| 2 | 537, 428, 850, 396, 930 |
| 2 | 537, 214, 425, 198, 465 |
| 3 | 537, 107, 425, 99, 465 |
| 5 | 179, 107, 425, 33, 155 |
| 179, 107, 85, 33, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 179 x 107 x 85 x 33 x 31 = 99926946900
Therefore, the lowest common multiple of 537,428,850,396,930 is 99926946900.
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.
537 x 428 x 850 x 396 x 930 = 71947401768000
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.
537 : 1, 3, 179, 537
428 : 1, 2, 4, 107, 214, 428
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
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 537,428,850,396,930, is 1.
Now, the common factors can be found like this.
537:3x 179
428:2x 2x 107
850:2x 5x 5x 17
396:2x 2x 3x 3x 11
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 2x 3x 3x 5 = 720
Therefore, the value for common factors is 720.
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 = 71947401768000/(1x720)
LCM = 71947401768000/720
LCM = 99926946900
Thus, we can understand that the LCM of 537,428,850,396,930 is 99926946900.
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FAQs on LCM of 537, 428, 850, 396, 930
1. What is the LCM of 537, 428, 850, 396, 930?
Answer: LCM of 537, 428, 850, 396, 930 is 99926946900.
2. How to calculate the LCM of 537, 428, 850, 396, 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 537, 428, 850, 396, 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}.