LCM of 315, 702, 507, 855
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 315, 702, 507, 855 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 315, 702, 507, 855. So, keep reading to learn more.
Given numbers are 315,702,507,855
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,702,507,855 is 6068790.
Find LCM of 315,702,507,855 with Prime Factorization
| 3 | 315, 702, 507, 855 |
| 3 | 105, 234, 169, 285 |
| 5 | 35, 78, 169, 95 |
| 13 | 7, 78, 169, 19 |
| 7, 6, 13, 19 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 13 x 7 x 6 x 13 x 19 = 6068790
Therefore, the lowest common multiple of 315,702,507,855 is 6068790.
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.
315 x 702 x 507 x 855 = 95856538050
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.
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
507 : 1, 3, 13, 39, 169, 507
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,702,507,855, is 3.
Now, the common factors can be found like this.
315:3x 3x 5x 7
702:2x 3x 3x 3x 13
507:3x 13x 13
855:3x 3x 5x 19
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 3x 5x 13 = 5265
Therefore, the value for common factors is 5265.
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 = 95856538050/(3x5265)
LCM = 95856538050/15795
LCM = 6068790
Thus, we can understand that the LCM of 315,702,507,855 is 6068790.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 315, 702, 507, 855
1. What is the LCM of 315, 702, 507, 855?
Answer: LCM of 315, 702, 507, 855 is 6068790.
2. How to calculate the LCM of 315, 702, 507, 855?
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 315, 702, 507, 855.
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}.