LCM of 828, 575, 341, 545, 930
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 828, 575, 341, 545, 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 828, 575, 341, 545, 930. So, keep reading to learn more.
Given numbers are 828,575,341,545,930
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 828,575,341,545,930 is 769398300.
Find LCM of 828,575,341,545,930 with Prime Factorization
| 2 | 828, 575, 341, 545, 930 |
| 3 | 414, 575, 341, 545, 465 |
| 5 | 138, 575, 341, 545, 155 |
| 23 | 138, 115, 341, 109, 31 |
| 31 | 6, 5, 341, 109, 31 |
| 6, 5, 11, 109, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 23 x 31 x 6 x 5 x 11 x 109 x 1 = 769398300
Therefore, the lowest common multiple of 828,575,341,545,930 is 769398300.
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.
828 x 575 x 341 x 545 x 930 = 82287148185000
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.
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
575 : 1, 5, 23, 25, 115, 575
341 : 1, 11, 31, 341
545 : 1, 5, 109, 545
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 828,575,341,545,930, is 1.
Now, the common factors can be found like this.
828:2x 2x 3x 3x 23
575:5x 5x 23
341:11x 31
545:5x 109
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 3x 5x 5x 23x 31 = 106950
Therefore, the value for common factors is 106950.
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 = 82287148185000/(1x106950)
LCM = 82287148185000/106950
LCM = 769398300
Thus, we can understand that the LCM of 828,575,341,545,930 is 769398300.
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FAQs on LCM of 828, 575, 341, 545, 930
1. What is the LCM of 828, 575, 341, 545, 930?
Answer: LCM of 828, 575, 341, 545, 930 is 769398300.
2. How to calculate the LCM of 828, 575, 341, 545, 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 828, 575, 341, 545, 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}.