LCM of 676, 902, 369, 416, 285
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 676, 902, 369, 416, 285 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 676, 902, 369, 416, 285. So, keep reading to learn more.
Given numbers are 676,902,369,416,285
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,902,369,416,285 is 2085351840.
Find LCM of 676,902,369,416,285 with Prime Factorization
| 2 | 676, 902, 369, 416, 285 |
| 2 | 338, 451, 369, 208, 285 |
| 3 | 169, 451, 369, 104, 285 |
| 13 | 169, 451, 123, 104, 95 |
| 41 | 13, 451, 123, 8, 95 |
| 13, 11, 3, 8, 95 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 41 x 13 x 11 x 3 x 8 x 95 = 2085351840
Therefore, the lowest common multiple of 676,902,369,416,285 is 2085351840.
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.
676 x 902 x 369 x 416 x 285 = 26675820737280
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.
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
902 : 1, 2, 11, 22, 41, 82, 451, 902
369 : 1, 3, 9, 41, 123, 369
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
285 : 1, 3, 5, 15, 19, 57, 95, 285
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,902,369,416,285, is 1.
Now, the common factors can be found like this.
676:2x 2x 13x 13
902:2x 11x 41
369:3x 3x 41
416:2x 2x 2x 2x 2x 13
285:3x 5x 19
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 3x 13x 41 = 12792
Therefore, the value for common factors is 12792.
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 = 26675820737280/(1x12792)
LCM = 26675820737280/12792
LCM = 2085351840
Thus, we can understand that the LCM of 676,902,369,416,285 is 2085351840.
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FAQs on LCM of 676, 902, 369, 416, 285
1. What is the LCM of 676, 902, 369, 416, 285?
Answer: LCM of 676, 902, 369, 416, 285 is 2085351840.
2. How to calculate the LCM of 676, 902, 369, 416, 285?
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 676, 902, 369, 416, 285.
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}.