Find the LCM of 610, 494, 934, 934, 702 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 610, 494, 934, 934, 702. So, keep reading to learn more.
Given numbers are 610,494,934,934,702
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 610,494,934,934,702 is 1899798030.
Find LCM of 610,494,934,934,702 with Prime Factorization
2 | 610, 494, 934, 934, 702 |
13 | 305, 247, 467, 467, 351 |
467 | 305, 19, 467, 467, 27 |
305, 19, 1, 1, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 467 x 305 x 19 x 1 x 1 x 27 = 1899798030
Therefore, the lowest common multiple of 610,494,934,934,702 is 1899798030.
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.
610 x 494 x 934 x 934 x 702 = 184538781442080
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.
610 : 1, 2, 5, 10, 61, 122, 305, 610
494 : 1, 2, 13, 19, 26, 38, 247, 494
934 : 1, 2, 467, 934
934 : 1, 2, 467, 934
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 610,494,934,934,702, is 2.
Now, the common factors can be found like this.
610:2x 5x 61
494:2x 13x 19
934:2x 467
934:2x 467
702:2x 3x 3x 3x 13
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 13x 467 = 48568
Therefore, the value for common factors is 48568.
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 = 184538781442080/(2x48568)
LCM = 184538781442080/97136
LCM = 1899798030
Thus, we can understand that the LCM of 610,494,934,934,702 is 1899798030.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 610, 494, 934, 934, 702?
Answer: LCM of 610, 494, 934, 934, 702 is 1899798030.
2. How to calculate the LCM of 610, 494, 934, 934, 702?
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 610, 494, 934, 934, 702.
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}.