Find the LCM of 760, 464, 778, 522, 928 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 760, 464, 778, 522, 928. So, keep reading to learn more.
Given numbers are 760,464,778,522,928
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 760,464,778,522,928 is 308648160.
Find LCM of 760,464,778,522,928 with Prime Factorization
2 | 760, 464, 778, 522, 928 |
2 | 380, 232, 389, 261, 464 |
2 | 190, 116, 389, 261, 232 |
2 | 95, 58, 389, 261, 116 |
29 | 95, 29, 389, 261, 58 |
95, 1, 389, 9, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 29 x 95 x 1 x 389 x 9 x 2 = 308648160
Therefore, the lowest common multiple of 760,464,778,522,928 is 308648160.
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.
760 x 464 x 778 x 522 x 928 = 132901428510720
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.
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
778 : 1, 2, 389, 778
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,464,778,522,928, is 2.
Now, the common factors can be found like this.
760:2x 2x 2x 5x 19
464:2x 2x 2x 2x 29
778:2x 389
522:2x 3x 3x 29
928:2x 2x 2x 2x 2x 29
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 2x 2x 2x 29x 29 = 215296
Therefore, the value for common factors is 215296.
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 = 132901428510720/(2x215296)
LCM = 132901428510720/430592
LCM = 308648160
Thus, we can understand that the LCM of 760,464,778,522,928 is 308648160.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 760, 464, 778, 522, 928?
Answer: LCM of 760, 464, 778, 522, 928 is 308648160.
2. How to calculate the LCM of 760, 464, 778, 522, 928?
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 760, 464, 778, 522, 928.
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}.