LCM of 902, 411, 837, 891, 514
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 902, 411, 837, 891, 514 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 902, 411, 837, 891, 514. So, keep reading to learn more.
Given numbers are 902,411,837,891,514
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,411,837,891,514 is 79745638698.
Find LCM of 902,411,837,891,514 with Prime Factorization
| 2 | 902, 411, 837, 891, 514 |
| 3 | 451, 411, 837, 891, 257 |
| 3 | 451, 137, 279, 297, 257 |
| 3 | 451, 137, 93, 99, 257 |
| 11 | 451, 137, 31, 33, 257 |
| 41, 137, 31, 3, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 11 x 41 x 137 x 31 x 3 x 257 = 79745638698
Therefore, the lowest common multiple of 902,411,837,891,514 is 79745638698.
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.
902 x 411 x 837 x 891 x 514 = 142106728159836
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.
902 : 1, 2, 11, 22, 41, 82, 451, 902
411 : 1, 3, 137, 411
837 : 1, 3, 9, 27, 31, 93, 279, 837
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
514 : 1, 2, 257, 514
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,411,837,891,514, is 1.
Now, the common factors can be found like this.
902:2x 11x 41
411:3x 137
837:3x 3x 3x 31
891:3x 3x 3x 3x 11
514:2x 257
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 3x 3x 3x 11 = 1782
Therefore, the value for common factors is 1782.
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 = 142106728159836/(1x1782)
LCM = 142106728159836/1782
LCM = 79745638698
Thus, we can understand that the LCM of 902,411,837,891,514 is 79745638698.
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FAQs on LCM of 902, 411, 837, 891, 514
1. What is the LCM of 902, 411, 837, 891, 514?
Answer: LCM of 902, 411, 837, 891, 514 is 79745638698.
2. How to calculate the LCM of 902, 411, 837, 891, 514?
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 902, 411, 837, 891, 514.
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}.