Find the LCM of 880, 388, 750, 463, 456 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 880, 388, 750, 463, 456. So, keep reading to learn more.
Given numbers are 880,388,750,463,456
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 880,388,750,463,456 is 56318394000.
Find LCM of 880,388,750,463,456 with Prime Factorization
2 | 880, 388, 750, 463, 456 |
2 | 440, 194, 375, 463, 228 |
2 | 220, 97, 375, 463, 114 |
3 | 110, 97, 375, 463, 57 |
5 | 110, 97, 125, 463, 19 |
22, 97, 25, 463, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 22 x 97 x 25 x 463 x 19 = 56318394000
Therefore, the lowest common multiple of 880,388,750,463,456 is 56318394000.
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.
880 x 388 x 750 x 463 x 456 = 54065658240000
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.
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
388 : 1, 2, 4, 97, 194, 388
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
463 : 1, 463
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 880,388,750,463,456, is 1.
Now, the common factors can be found like this.
880:2x 2x 2x 2x 5x 11
388:2x 2x 97
750:2x 3x 5x 5x 5
463:463
456:2x 2x 2x 3x 19
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 3x 5 = 960
Therefore, the value for common factors is 960.
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 = 54065658240000/(1x960)
LCM = 54065658240000/960
LCM = 56318394000
Thus, we can understand that the LCM of 880,388,750,463,456 is 56318394000.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 880, 388, 750, 463, 456?
Answer: LCM of 880, 388, 750, 463, 456 is 56318394000.
2. How to calculate the LCM of 880, 388, 750, 463, 456?
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 880, 388, 750, 463, 456.
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}.