Find the LCM of 910, 503, 638, 668, 726 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, 503, 638, 668, 726. So, keep reading to learn more.
Given numbers are 910,503,638,668,726
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 910,503,638,668,726 is 1609386919140.
Find LCM of 910,503,638,668,726 with Prime Factorization
2 | 910, 503, 638, 668, 726 |
11 | 455, 503, 319, 334, 363 |
455, 503, 29, 334, 33 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 455 x 503 x 29 x 334 x 33 = 1609386919140
Therefore, the lowest common multiple of 910,503,638,668,726 is 1609386919140.
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 503 x 638 x 668 x 726 = 141626048884320
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
503 : 1, 503
638 : 1, 2, 11, 22, 29, 58, 319, 638
668 : 1, 2, 4, 167, 334, 668
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,503,638,668,726, is 1.
Now, the common factors can be found like this.
910:2x 5x 7x 13
503:503
638:2x 11x 29
668:2x 2x 167
726:2x 3x 11x 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 11 = 88
Therefore, the value for common factors is 88.
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 = 141626048884320/(1x88)
LCM = 141626048884320/88
LCM = 1609386919140
Thus, we can understand that the LCM of 910,503,638,668,726 is 1609386919140.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 910, 503, 638, 668, 726?
Answer: LCM of 910, 503, 638, 668, 726 is 1609386919140.
2. How to calculate the LCM of 910, 503, 638, 668, 726?
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, 503, 638, 668, 726.
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}.