Find the LCM of 855, 291, 779, 161, 157 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 855, 291, 779, 161, 157. So, keep reading to learn more.
Given numbers are 855,291,779,161,157
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 855,291,779,161,157 is 85950267795.
Find LCM of 855,291,779,161,157 with Prime Factorization
3 | 855, 291, 779, 161, 157 |
19 | 285, 97, 779, 161, 157 |
15, 97, 41, 161, 157 |
Multiply the prime numbers at the bottom and the left side.
3 x 19 x 15 x 97 x 41 x 161 x 157 = 85950267795
Therefore, the lowest common multiple of 855,291,779,161,157 is 85950267795.
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.
855 x 291 x 779 x 161 x 157 = 4899165264315
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.
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
291 : 1, 3, 97, 291
779 : 1, 19, 41, 779
161 : 1, 7, 23, 161
157 : 1, 157
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 855,291,779,161,157, is 1.
Now, the common factors can be found like this.
855:3x 3x 5x 19
291:3x 97
779:19x 41
161:7x 23
157:157
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 19 = 57
Therefore, the value for common factors is 57.
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 = 4899165264315/(1x57)
LCM = 4899165264315/57
LCM = 85950267795
Thus, we can understand that the LCM of 855,291,779,161,157 is 85950267795.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 855, 291, 779, 161, 157?
Answer: LCM of 855, 291, 779, 161, 157 is 85950267795.
2. How to calculate the LCM of 855, 291, 779, 161, 157?
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 855, 291, 779, 161, 157.
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}.