LCM of 902, 404, 704, 973, 428
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 902, 404, 704, 973, 428 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, 404, 704, 973, 428. So, keep reading to learn more.
Given numbers are 902,404,704,973,428
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,404,704,973,428 is 303511050304.
Find LCM of 902,404,704,973,428 with Prime Factorization
| 2 | 902, 404, 704, 973, 428 |
| 2 | 451, 202, 352, 973, 214 |
| 11 | 451, 101, 176, 973, 107 |
| 41, 101, 16, 973, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 41 x 101 x 16 x 973 x 107 = 303511050304
Therefore, the lowest common multiple of 902,404,704,973,428 is 303511050304.
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 404 x 704 x 973 x 428 = 106835889707008
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
404 : 1, 2, 4, 101, 202, 404
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
973 : 1, 7, 139, 973
428 : 1, 2, 4, 107, 214, 428
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,404,704,973,428, is 1.
Now, the common factors can be found like this.
902:2x 11x 41
404:2x 2x 101
704:2x 2x 2x 2x 2x 2x 11
973:7x 139
428:2x 2x 107
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 2x 2x 2x 11 = 352
Therefore, the value for common factors is 352.
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 = 106835889707008/(1x352)
LCM = 106835889707008/352
LCM = 303511050304
Thus, we can understand that the LCM of 902,404,704,973,428 is 303511050304.
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FAQs on LCM of 902, 404, 704, 973, 428
1. What is the LCM of 902, 404, 704, 973, 428?
Answer: LCM of 902, 404, 704, 973, 428 is 303511050304.
2. How to calculate the LCM of 902, 404, 704, 973, 428?
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, 404, 704, 973, 428.
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}.