Find the LCM of 175, 338, 520, 582, 129 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 175, 338, 520, 582, 129. So, keep reading to learn more.
Given numbers are 175,338,520,582,129
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 175,338,520,582,129 is 2960575800.
Find LCM of 175,338,520,582,129 with Prime Factorization
2 | 175, 338, 520, 582, 129 |
3 | 175, 169, 260, 291, 129 |
5 | 175, 169, 260, 97, 43 |
13 | 35, 169, 52, 97, 43 |
35, 13, 4, 97, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 35 x 13 x 4 x 97 x 43 = 2960575800
Therefore, the lowest common multiple of 175,338,520,582,129 is 2960575800.
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.
175 x 338 x 520 x 582 x 129 = 2309249124000
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.
175 : 1, 5, 7, 25, 35, 175
338 : 1, 2, 13, 26, 169, 338
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
582 : 1, 2, 3, 6, 97, 194, 291, 582
129 : 1, 3, 43, 129
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 175,338,520,582,129, is 1.
Now, the common factors can be found like this.
175:5x 5x 7
338:2x 13x 13
520:2x 2x 2x 5x 13
582:2x 3x 97
129:3x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 5x 13 = 780
Therefore, the value for common factors is 780.
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 = 2309249124000/(1x780)
LCM = 2309249124000/780
LCM = 2960575800
Thus, we can understand that the LCM of 175,338,520,582,129 is 2960575800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 175, 338, 520, 582, 129?
Answer: LCM of 175, 338, 520, 582, 129 is 2960575800.
2. How to calculate the LCM of 175, 338, 520, 582, 129?
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 175, 338, 520, 582, 129.
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}.