Find the LCM of 855, 695, 105, 501 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, 695, 105, 501. So, keep reading to learn more.
Given numbers are 855,695,105,501
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 855,695,105,501 is 138929805.
Find LCM of 855,695,105,501 with Prime Factorization
3 | 855, 695, 105, 501 |
5 | 285, 695, 35, 167 |
57, 139, 7, 167 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 57 x 139 x 7 x 167 = 138929805
Therefore, the lowest common multiple of 855,695,105,501 is 138929805.
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 695 x 105 x 501 = 31259206125
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
695 : 1, 5, 139, 695
105 : 1, 3, 5, 7, 15, 21, 35, 105
501 : 1, 3, 167, 501
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 855,695,105,501, is 1.
Now, the common factors can be found like this.
855:3x 3x 5x 19
695:5x 139
105:3x 5x 7
501:3x 167
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 5x 5 = 225
Therefore, the value for common factors is 225.
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 = 31259206125/(1x225)
LCM = 31259206125/225
LCM = 138929805
Thus, we can understand that the LCM of 855,695,105,501 is 138929805.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 855, 695, 105, 501?
Answer: LCM of 855, 695, 105, 501 is 138929805.
2. How to calculate the LCM of 855, 695, 105, 501?
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, 695, 105, 501.
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}.