LCM of 897, 790, 510, 642, 934
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 897, 790, 510, 642, 934 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 897, 790, 510, 642, 934. So, keep reading to learn more.
Given numbers are 897,790,510,642,934
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 897,790,510,642,934 is 601962051990.
Find LCM of 897,790,510,642,934 with Prime Factorization
| 2 | 897, 790, 510, 642, 934 |
| 3 | 897, 395, 255, 321, 467 |
| 5 | 299, 395, 85, 107, 467 |
| 299, 79, 17, 107, 467 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 299 x 79 x 17 x 107 x 467 = 601962051990
Therefore, the lowest common multiple of 897,790,510,642,934 is 601962051990.
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.
897 x 790 x 510 x 642 x 934 = 216706338716400
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.
897 : 1, 3, 13, 23, 39, 69, 299, 897
790 : 1, 2, 5, 10, 79, 158, 395, 790
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
642 : 1, 2, 3, 6, 107, 214, 321, 642
934 : 1, 2, 467, 934
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 897,790,510,642,934, is 1.
Now, the common factors can be found like this.
897:3x 13x 23
790:2x 5x 79
510:2x 3x 5x 17
642:2x 3x 107
934:2x 467
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 3x 5 = 360
Therefore, the value for common factors is 360.
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 = 216706338716400/(1x360)
LCM = 216706338716400/360
LCM = 601962051990
Thus, we can understand that the LCM of 897,790,510,642,934 is 601962051990.
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FAQs on LCM of 897, 790, 510, 642, 934
1. What is the LCM of 897, 790, 510, 642, 934?
Answer: LCM of 897, 790, 510, 642, 934 is 601962051990.
2. How to calculate the LCM of 897, 790, 510, 642, 934?
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 897, 790, 510, 642, 934.
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}.