LCM of 260, 902, 573, 975, 775
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 260, 902, 573, 975, 775 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 260, 902, 573, 975, 775. So, keep reading to learn more.
Given numbers are 260,902,573,975,775
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 260,902,573,975,775 is 10414446900.
Find LCM of 260,902,573,975,775 with Prime Factorization
| 2 | 260, 902, 573, 975, 775 |
| 3 | 130, 451, 573, 975, 775 |
| 5 | 130, 451, 191, 325, 775 |
| 5 | 26, 451, 191, 65, 155 |
| 13 | 26, 451, 191, 13, 31 |
| 2, 451, 191, 1, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 13 x 2 x 451 x 191 x 1 x 31 = 10414446900
Therefore, the lowest common multiple of 260,902,573,975,775 is 10414446900.
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.
260 x 902 x 573 x 975 x 775 = 101540857275000
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.
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
902 : 1, 2, 11, 22, 41, 82, 451, 902
573 : 1, 3, 191, 573
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
775 : 1, 5, 25, 31, 155, 775
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,902,573,975,775, is 1.
Now, the common factors can be found like this.
260:2x 2x 5x 13
902:2x 11x 41
573:3x 191
975:3x 5x 5x 13
775:5x 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 5x 13 = 9750
Therefore, the value for common factors is 9750.
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 = 101540857275000/(1x9750)
LCM = 101540857275000/9750
LCM = 10414446900
Thus, we can understand that the LCM of 260,902,573,975,775 is 10414446900.
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FAQs on LCM of 260, 902, 573, 975, 775
1. What is the LCM of 260, 902, 573, 975, 775?
Answer: LCM of 260, 902, 573, 975, 775 is 10414446900.
2. How to calculate the LCM of 260, 902, 573, 975, 775?
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 260, 902, 573, 975, 775.
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}.