LCM of 565, 837, 902, 930
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 565, 837, 902, 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 565, 837, 902, 930. So, keep reading to learn more.
Given numbers are 565,837,902,930
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 565,837,902,930 is 426560310.
Find LCM of 565,837,902,930 with Prime Factorization
| 2 | 565, 837, 902, 930 |
| 3 | 565, 837, 451, 465 |
| 5 | 565, 279, 451, 155 |
| 31 | 113, 279, 451, 31 |
| 113, 9, 451, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 31 x 113 x 9 x 451 x 1 = 426560310
Therefore, the lowest common multiple of 565,837,902,930 is 426560310.
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.
565 x 837 x 902 x 930 = 396701088300
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.
565 : 1, 5, 113, 565
837 : 1, 3, 9, 27, 31, 93, 279, 837
902 : 1, 2, 11, 22, 41, 82, 451, 902
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 565,837,902,930, is 1.
Now, the common factors can be found like this.
565:5x 113
837:3x 3x 3x 31
902:2x 11x 41
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 31 = 930
Therefore, the value for common factors is 930.
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 = 396701088300/(1x930)
LCM = 396701088300/930
LCM = 426560310
Thus, we can understand that the LCM of 565,837,902,930 is 426560310.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 565, 837, 902, 930
1. What is the LCM of 565, 837, 902, 930?
Answer: LCM of 565, 837, 902, 930 is 426560310.
2. How to calculate the LCM of 565, 837, 902, 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 565, 837, 902, 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}.