LCM of 950, 481, 828, 522, 726
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 950, 481, 828, 522, 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 950, 481, 828, 522, 726. So, keep reading to learn more.
Given numbers are 950,481,828,522,726
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 950,481,828,522,726 is 663823145700.
Find LCM of 950,481,828,522,726 with Prime Factorization
| 2 | 950, 481, 828, 522, 726 |
| 3 | 475, 481, 414, 261, 363 |
| 3 | 475, 481, 138, 87, 121 |
| 475, 481, 46, 29, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 475 x 481 x 46 x 29 x 121 = 663823145700
Therefore, the lowest common multiple of 950,481,828,522,726 is 663823145700.
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.
950 x 481 x 828 x 522 x 726 = 143385799471200
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.
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
481 : 1, 13, 37, 481
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
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 950,481,828,522,726, is 1.
Now, the common factors can be found like this.
950:2x 5x 5x 19
481:13x 37
828:2x 2x 3x 3x 23
522:2x 3x 3x 29
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 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 143385799471200/(1x216)
LCM = 143385799471200/216
LCM = 663823145700
Thus, we can understand that the LCM of 950,481,828,522,726 is 663823145700.
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FAQs on LCM of 950, 481, 828, 522, 726
1. What is the LCM of 950, 481, 828, 522, 726?
Answer: LCM of 950, 481, 828, 522, 726 is 663823145700.
2. How to calculate the LCM of 950, 481, 828, 522, 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 950, 481, 828, 522, 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}.