Find the LCM of 902, 825, 920, 553 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 902, 825, 920, 553. So, keep reading to learn more.
Given numbers are 902,825,920,553
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,825,920,553 is 3441761400.
Find LCM of 902,825,920,553 with Prime Factorization
2 | 902, 825, 920, 553 |
5 | 451, 825, 460, 553 |
11 | 451, 165, 92, 553 |
41, 15, 92, 553 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 41 x 15 x 92 x 553 = 3441761400
Therefore, the lowest common multiple of 902,825,920,553 is 3441761400.
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.
902 x 825 x 920 x 553 = 378593754000
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.
902 : 1, 2, 11, 22, 41, 82, 451, 902
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
553 : 1, 7, 79, 553
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,825,920,553, is 1.
Now, the common factors can be found like this.
902:2x 11x 41
825:3x 5x 5x 11
920:2x 2x 2x 5x 23
553:7x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 11 = 110
Therefore, the value for common factors is 110.
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 = 378593754000/(1x110)
LCM = 378593754000/110
LCM = 3441761400
Thus, we can understand that the LCM of 902,825,920,553 is 3441761400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 902, 825, 920, 553?
Answer: LCM of 902, 825, 920, 553 is 3441761400.
2. How to calculate the LCM of 902, 825, 920, 553?
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 902, 825, 920, 553.
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}.