Find the LCM of 725, 900, 502, 884, 731 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 725, 900, 502, 884, 731. So, keep reading to learn more.
Given numbers are 725,900,502,884,731
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 725,900,502,884,731 is 62255103300.
Find LCM of 725,900,502,884,731 with Prime Factorization
2 | 725, 900, 502, 884, 731 |
2 | 725, 450, 251, 442, 731 |
5 | 725, 225, 251, 221, 731 |
5 | 145, 45, 251, 221, 731 |
17 | 29, 9, 251, 221, 731 |
29, 9, 251, 13, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 5 x 17 x 29 x 9 x 251 x 13 x 43 = 62255103300
Therefore, the lowest common multiple of 725,900,502,884,731 is 62255103300.
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.
725 x 900 x 502 x 884 x 731 = 211667351220000
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.
725 : 1, 5, 25, 29, 145, 725
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
502 : 1, 2, 251, 502
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
731 : 1, 17, 43, 731
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 725,900,502,884,731, is 1.
Now, the common factors can be found like this.
725:5x 5x 29
900:2x 2x 3x 3x 5x 5
502:2x 251
884:2x 2x 13x 17
731:17x 43
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 5x 5x 17 = 3400
Therefore, the value for common factors is 3400.
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 = 211667351220000/(1x3400)
LCM = 211667351220000/3400
LCM = 62255103300
Thus, we can understand that the LCM of 725,900,502,884,731 is 62255103300.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 725, 900, 502, 884, 731?
Answer: LCM of 725, 900, 502, 884, 731 is 62255103300.
2. How to calculate the LCM of 725, 900, 502, 884, 731?
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 725, 900, 502, 884, 731.
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}.