LCM of 725, 475, 285, 849
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 725, 475, 285, 849 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 725, 475, 285, 849. So, keep reading to learn more.
Given numbers are 725,475,285,849
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 725,475,285,849 is 11694975.
Find LCM of 725,475,285,849 with Prime Factorization
| 3 | 725, 475, 285, 849 |
| 5 | 725, 475, 95, 283 |
| 5 | 145, 19, 95, 283 |
| 19 | 29, 19, 19, 283 |
| 29, 1, 1, 283 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 5 x 19 x 29 x 1 x 1 x 283 = 11694975
Therefore, the lowest common multiple of 725,475,285,849 is 11694975.
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.
725 x 475 x 285 x 849 = 83326696875
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.
725 : 1, 5, 25, 29, 145, 725
475 : 1, 5, 19, 25, 95, 475
285 : 1, 3, 5, 15, 19, 57, 95, 285
849 : 1, 3, 283, 849
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 725,475,285,849, is 1.
Now, the common factors can be found like this.
725:5x 5x 29
475:5x 5x 19
285:3x 5x 19
849:3x 283
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 5x 19 = 7125
Therefore, the value for common factors is 7125.
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 = 83326696875/(1x7125)
LCM = 83326696875/7125
LCM = 11694975
Thus, we can understand that the LCM of 725,475,285,849 is 11694975.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 725, 475, 285, 849
1. What is the LCM of 725, 475, 285, 849?
Answer: LCM of 725, 475, 285, 849 is 11694975.
2. How to calculate the LCM of 725, 475, 285, 849?
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 725, 475, 285, 849.
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}.