Find the LCM of 781, 934, 802, 520, 459 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 781, 934, 802, 520, 459. So, keep reading to learn more.
Given numbers are 781,934,802,520,459
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 781,934,802,520,459 is 34908269184360.
Find LCM of 781,934,802,520,459 with Prime Factorization
2 | 781, 934, 802, 520, 459 |
781, 467, 401, 260, 459 |
Multiply the prime numbers at the bottom and the left side.
2 x 781 x 467 x 401 x 260 x 459 = 34908269184360
Therefore, the lowest common multiple of 781,934,802,520,459 is 34908269184360.
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.
781 x 934 x 802 x 520 x 459 = 139633076737440
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.
781 : 1, 11, 71, 781
934 : 1, 2, 467, 934
802 : 1, 2, 401, 802
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
459 : 1, 3, 9, 17, 27, 51, 153, 459
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,934,802,520,459, is 1.
Now, the common factors can be found like this.
781:11x 71
934:2x 467
802:2x 401
520:2x 2x 2x 5x 13
459:3x 3x 3x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 139633076737440/(1x4)
LCM = 139633076737440/4
LCM = 34908269184360
Thus, we can understand that the LCM of 781,934,802,520,459 is 34908269184360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 781, 934, 802, 520, 459?
Answer: LCM of 781, 934, 802, 520, 459 is 34908269184360.
2. How to calculate the LCM of 781, 934, 802, 520, 459?
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 781, 934, 802, 520, 459.
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}.