Find the LCM of 988, 199, 155, 556, 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 988, 199, 155, 556, 825. So, keep reading to learn more.
Given numbers are 988,199,155,556,825
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 988,199,155,556,825 is 698940914100.
Find LCM of 988,199,155,556,825 with Prime Factorization
2 | 988, 199, 155, 556, 825 |
2 | 494, 199, 155, 278, 825 |
5 | 247, 199, 155, 139, 825 |
247, 199, 31, 139, 165 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 247 x 199 x 31 x 139 x 165 = 698940914100
Therefore, the lowest common multiple of 988,199,155,556,825 is 698940914100.
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.
988 x 199 x 155 x 556 x 825 = 13978818282000
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.
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
199 : 1, 199
155 : 1, 5, 31, 155
556 : 1, 2, 4, 139, 278, 556
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 988,199,155,556,825, is 1.
Now, the common factors can be found like this.
988:2x 2x 13x 19
199:199
155:5x 31
556:2x 2x 139
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.
2x 2x 5 = 20
Therefore, the value for common factors is 20.
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 = 13978818282000/(1x20)
LCM = 13978818282000/20
LCM = 698940914100
Thus, we can understand that the LCM of 988,199,155,556,825 is 698940914100.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 988, 199, 155, 556, 825?
Answer: LCM of 988, 199, 155, 556, 825 is 698940914100.
2. How to calculate the LCM of 988, 199, 155, 556, 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 988, 199, 155, 556, 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}.