Find the LCM of 758, 847, 379, 264, 880 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 758, 847, 379, 264, 880. So, keep reading to learn more.
Given numbers are 758,847,379,264,880
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 758,847,379,264,880 is 77043120.
Find LCM of 758,847,379,264,880 with Prime Factorization
2 | 758, 847, 379, 264, 880 |
2 | 379, 847, 379, 132, 440 |
2 | 379, 847, 379, 66, 220 |
11 | 379, 847, 379, 33, 110 |
379 | 379, 77, 379, 3, 10 |
1, 77, 1, 3, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 379 x 1 x 77 x 1 x 3 x 10 = 77043120
Therefore, the lowest common multiple of 758,847,379,264,880 is 77043120.
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.
758 x 847 x 379 x 264 x 880 = 56529927041280
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.
758 : 1, 2, 379, 758
847 : 1, 7, 11, 77, 121, 847
379 : 1, 379
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 758,847,379,264,880, is 1.
Now, the common factors can be found like this.
758:2x 379
847:7x 11x 11
379:379
264:2x 2x 2x 3x 11
880:2x 2x 2x 2x 5x 11
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 11x 11x 379 = 733744
Therefore, the value for common factors is 733744.
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 = 56529927041280/(1x733744)
LCM = 56529927041280/733744
LCM = 77043120
Thus, we can understand that the LCM of 758,847,379,264,880 is 77043120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 758, 847, 379, 264, 880?
Answer: LCM of 758, 847, 379, 264, 880 is 77043120.
2. How to calculate the LCM of 758, 847, 379, 264, 880?
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 758, 847, 379, 264, 880.
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}.