Find the LCM of 627, 718, 846, 855, 155 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 627, 718, 846, 855, 155. So, keep reading to learn more.
Given numbers are 627,718,846,855,155
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 627,718,846,855,155 is 9838815030.
Find LCM of 627,718,846,855,155 with Prime Factorization
2 | 627, 718, 846, 855, 155 |
3 | 627, 359, 423, 855, 155 |
3 | 209, 359, 141, 285, 155 |
5 | 209, 359, 47, 95, 155 |
19 | 209, 359, 47, 19, 31 |
11, 359, 47, 1, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 19 x 11 x 359 x 47 x 1 x 31 = 9838815030
Therefore, the lowest common multiple of 627,718,846,855,155 is 9838815030.
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.
627 x 718 x 846 x 855 x 155 = 50473121103900
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.
627 : 1, 3, 11, 19, 33, 57, 209, 627
718 : 1, 2, 359, 718
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
155 : 1, 5, 31, 155
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 627,718,846,855,155, is 1.
Now, the common factors can be found like this.
627:3x 11x 19
718:2x 359
846:2x 3x 3x 47
855:3x 3x 5x 19
155:5x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5x 19 = 5130
Therefore, the value for common factors is 5130.
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 = 50473121103900/(1x5130)
LCM = 50473121103900/5130
LCM = 9838815030
Thus, we can understand that the LCM of 627,718,846,855,155 is 9838815030.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 627, 718, 846, 855, 155?
Answer: LCM of 627, 718, 846, 855, 155 is 9838815030.
2. How to calculate the LCM of 627, 718, 846, 855, 155?
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 627, 718, 846, 855, 155.
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}.