LCM of 285, 726, 175, 625, 607
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 285, 726, 175, 625, 607 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 285, 726, 175, 625, 607. So, keep reading to learn more.
Given numbers are 285,726,175,625,607
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 285,726,175,625,607 is 36631691250.
Find LCM of 285,726,175,625,607 with Prime Factorization
| 3 | 285, 726, 175, 625, 607 |
| 5 | 95, 242, 175, 625, 607 |
| 5 | 19, 242, 35, 125, 607 |
| 19, 242, 7, 25, 607 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 5 x 19 x 242 x 7 x 25 x 607 = 36631691250
Therefore, the lowest common multiple of 285,726,175,625,607 is 36631691250.
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.
285 x 726 x 175 x 625 x 607 = 13736884218750
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.
285 : 1, 3, 5, 15, 19, 57, 95, 285
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
175 : 1, 5, 7, 25, 35, 175
625 : 1, 5, 25, 125, 625
607 : 1, 607
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 285,726,175,625,607, is 1.
Now, the common factors can be found like this.
285:3x 5x 19
726:2x 3x 11x 11
175:5x 5x 7
625:5x 5x 5x 5
607:607
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 5 = 375
Therefore, the value for common factors is 375.
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 = 13736884218750/(1x375)
LCM = 13736884218750/375
LCM = 36631691250
Thus, we can understand that the LCM of 285,726,175,625,607 is 36631691250.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 285, 726, 175, 625, 607
1. What is the LCM of 285, 726, 175, 625, 607?
Answer: LCM of 285, 726, 175, 625, 607 is 36631691250.
2. How to calculate the LCM of 285, 726, 175, 625, 607?
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 285, 726, 175, 625, 607.
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}.