Find the LCM of 898, 993, 100, 125, 738 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 898, 993, 100, 125, 738. So, keep reading to learn more.
Given numbers are 898,993,100,125,738
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 898,993,100,125,738 is 27420205500.
Find LCM of 898,993,100,125,738 with Prime Factorization
2 | 898, 993, 100, 125, 738 |
3 | 449, 993, 50, 125, 369 |
5 | 449, 331, 50, 125, 123 |
5 | 449, 331, 10, 25, 123 |
449, 331, 2, 5, 123 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 449 x 331 x 2 x 5 x 123 = 27420205500
Therefore, the lowest common multiple of 898,993,100,125,738 is 27420205500.
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.
898 x 993 x 100 x 125 x 738 = 8226061650000
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.
898 : 1, 2, 449, 898
993 : 1, 3, 331, 993
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
125 : 1, 5, 25, 125
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 898,993,100,125,738, is 1.
Now, the common factors can be found like this.
898:2x 449
993:3x 331
100:2x 2x 5x 5
125:5x 5x 5
738:2x 3x 3x 41
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 3x 5x 5 = 300
Therefore, the value for common factors is 300.
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 = 8226061650000/(1x300)
LCM = 8226061650000/300
LCM = 27420205500
Thus, we can understand that the LCM of 898,993,100,125,738 is 27420205500.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 898, 993, 100, 125, 738?
Answer: LCM of 898, 993, 100, 125, 738 is 27420205500.
2. How to calculate the LCM of 898, 993, 100, 125, 738?
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 898, 993, 100, 125, 738.
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}.