LCM of 309, 902, 510, 448, 805
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 309, 902, 510, 448, 805 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 309, 902, 510, 448, 805. So, keep reading to learn more.
Given numbers are 309,902,510,448,805
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 309,902,510,448,805 is 122056186560.
Find LCM of 309,902,510,448,805 with Prime Factorization
| 2 | 309, 902, 510, 448, 805 |
| 3 | 309, 451, 255, 224, 805 |
| 5 | 103, 451, 85, 224, 805 |
| 7 | 103, 451, 17, 224, 161 |
| 103, 451, 17, 32, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 103 x 451 x 17 x 32 x 23 = 122056186560
Therefore, the lowest common multiple of 309,902,510,448,805 is 122056186560.
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.
309 x 902 x 510 x 448 x 805 = 51263598355200
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.
309 : 1, 3, 103, 309
902 : 1, 2, 11, 22, 41, 82, 451, 902
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
805 : 1, 5, 7, 23, 35, 115, 161, 805
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,902,510,448,805, is 1.
Now, the common factors can be found like this.
309:3x 103
902:2x 11x 41
510:2x 3x 5x 17
448:2x 2x 2x 2x 2x 2x 7
805:5x 7x 23
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 5x 7 = 420
Therefore, the value for common factors is 420.
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 = 51263598355200/(1x420)
LCM = 51263598355200/420
LCM = 122056186560
Thus, we can understand that the LCM of 309,902,510,448,805 is 122056186560.
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FAQs on LCM of 309, 902, 510, 448, 805
1. What is the LCM of 309, 902, 510, 448, 805?
Answer: LCM of 309, 902, 510, 448, 805 is 122056186560.
2. How to calculate the LCM of 309, 902, 510, 448, 805?
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 309, 902, 510, 448, 805.
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}.