Find the LCM of 103, 698, 209, 825 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 103, 698, 209, 825. So, keep reading to learn more.
Given numbers are 103,698,209,825
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 103,698,209,825 is 1126938450.
Find LCM of 103,698,209,825 with Prime Factorization
11 | 103, 698, 209, 825 |
103, 698, 19, 75 |
Multiply the prime numbers at the bottom and the left side.
11 x 103 x 698 x 19 x 75 = 1126938450
Therefore, the lowest common multiple of 103,698,209,825 is 1126938450.
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.
103 x 698 x 209 x 825 = 12396322950
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.
103 : 1, 103
698 : 1, 2, 349, 698
209 : 1, 11, 19, 209
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 103,698,209,825, is 1.
Now, the common factors can be found like this.
103:103
698:2x 349
209:11x 19
825:3x 5x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 12396322950/(1x11)
LCM = 12396322950/11
LCM = 1126938450
Thus, we can understand that the LCM of 103,698,209,825 is 1126938450.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 103, 698, 209, 825?
Answer: LCM of 103, 698, 209, 825 is 1126938450.
2. How to calculate the LCM of 103, 698, 209, 825?
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 103, 698, 209, 825.
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}.