Find the LCM of 855, 788, 876, 807, 921 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, 788, 876, 807, 921. So, keep reading to learn more.
Given numbers are 855,788,876,807,921
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 855,788,876,807,921 is 4061681340660.
Find LCM of 855,788,876,807,921 with Prime Factorization
2 | 855, 788, 876, 807, 921 |
2 | 855, 394, 438, 807, 921 |
3 | 855, 197, 219, 807, 921 |
285, 197, 73, 269, 307 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 285 x 197 x 73 x 269 x 307 = 4061681340660
Therefore, the lowest common multiple of 855,788,876,807,921 is 4061681340660.
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 788 x 876 x 807 x 921 = 438661584791280
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
788 : 1, 2, 4, 197, 394, 788
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
807 : 1, 3, 269, 807
921 : 1, 3, 307, 921
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 855,788,876,807,921, is 1.
Now, the common factors can be found like this.
855:3x 3x 5x 19
788:2x 2x 197
876:2x 2x 3x 73
807:3x 269
921:3x 307
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 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 438661584791280/(1x108)
LCM = 438661584791280/108
LCM = 4061681340660
Thus, we can understand that the LCM of 855,788,876,807,921 is 4061681340660.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 855, 788, 876, 807, 921?
Answer: LCM of 855, 788, 876, 807, 921 is 4061681340660.
2. How to calculate the LCM of 855, 788, 876, 807, 921?
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, 788, 876, 807, 921.
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}.