Find the LCM of 615, 771, 855, 177, 629 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 615, 771, 855, 177, 629. So, keep reading to learn more.
Given numbers are 615,771,855,177,629
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 615,771,855,177,629 is 334338008985.
Find LCM of 615,771,855,177,629 with Prime Factorization
3 | 615, 771, 855, 177, 629 |
5 | 205, 257, 285, 59, 629 |
41, 257, 57, 59, 629 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 41 x 257 x 57 x 59 x 629 = 334338008985
Therefore, the lowest common multiple of 615,771,855,177,629 is 334338008985.
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.
615 x 771 x 855 x 177 x 629 = 45135631212975
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.
615 : 1, 3, 5, 15, 41, 123, 205, 615
771 : 1, 3, 257, 771
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
177 : 1, 3, 59, 177
629 : 1, 17, 37, 629
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 615,771,855,177,629, is 1.
Now, the common factors can be found like this.
615:3x 5x 41
771:3x 257
855:3x 3x 5x 19
177:3x 59
629:17x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 5 = 135
Therefore, the value for common factors is 135.
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 = 45135631212975/(1x135)
LCM = 45135631212975/135
LCM = 334338008985
Thus, we can understand that the LCM of 615,771,855,177,629 is 334338008985.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 615, 771, 855, 177, 629?
Answer: LCM of 615, 771, 855, 177, 629 is 334338008985.
2. How to calculate the LCM of 615, 771, 855, 177, 629?
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 615, 771, 855, 177, 629.
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}.