Find the LCM of 910, 758, 752, 638, 505 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 910, 758, 752, 638, 505. So, keep reading to learn more.
Given numbers are 910,758,752,638,505
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 910,758,752,638,505 is 4178116102160.
Find LCM of 910,758,752,638,505 with Prime Factorization
2 | 910, 758, 752, 638, 505 |
5 | 455, 379, 376, 319, 505 |
91, 379, 376, 319, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 91 x 379 x 376 x 319 x 101 = 4178116102160
Therefore, the lowest common multiple of 910,758,752,638,505 is 4178116102160.
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.
910 x 758 x 752 x 638 x 505 = 167124644086400
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.
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
758 : 1, 2, 379, 758
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
638 : 1, 2, 11, 22, 29, 58, 319, 638
505 : 1, 5, 101, 505
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,758,752,638,505, is 1.
Now, the common factors can be found like this.
910:2x 5x 7x 13
758:2x 379
752:2x 2x 2x 2x 47
638:2x 11x 29
505:5x 101
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 5 = 40
Therefore, the value for common factors is 40.
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 = 167124644086400/(1x40)
LCM = 167124644086400/40
LCM = 4178116102160
Thus, we can understand that the LCM of 910,758,752,638,505 is 4178116102160.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 910, 758, 752, 638, 505?
Answer: LCM of 910, 758, 752, 638, 505 is 4178116102160.
2. How to calculate the LCM of 910, 758, 752, 638, 505?
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 910, 758, 752, 638, 505.
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}.