Find the LCM of 473, 589, 475, 115 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 473, 589, 475, 115. So, keep reading to learn more.
Given numbers are 473,589,475,115
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 473,589,475,115 is 160193275.
Find LCM of 473,589,475,115 with Prime Factorization
5 | 473, 589, 475, 115 |
19 | 473, 589, 95, 23 |
473, 31, 5, 23 |
Multiply the prime numbers at the bottom and the left side.
5 x 19 x 473 x 31 x 5 x 23 = 160193275
Therefore, the lowest common multiple of 473,589,475,115 is 160193275.
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.
473 x 589 x 475 x 115 = 15218361125
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.
473 : 1, 11, 43, 473
589 : 1, 19, 31, 589
475 : 1, 5, 19, 25, 95, 475
115 : 1, 5, 23, 115
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 473,589,475,115, is 1.
Now, the common factors can be found like this.
473:11x 43
589:19x 31
475:5x 5x 19
115:5x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 19 = 95
Therefore, the value for common factors is 95.
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 = 15218361125/(1x95)
LCM = 15218361125/95
LCM = 160193275
Thus, we can understand that the LCM of 473,589,475,115 is 160193275.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 473, 589, 475, 115?
Answer: LCM of 473, 589, 475, 115 is 160193275.
2. How to calculate the LCM of 473, 589, 475, 115?
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 473, 589, 475, 115.
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}.