Find the LCM of 259, 703, 412, 672, 240 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 259, 703, 412, 672, 240. So, keep reading to learn more.
Given numbers are 259,703,412,672,240
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 259,703,412,672,240 is 243294240.
Find LCM of 259,703,412,672,240 with Prime Factorization
2 | 259, 703, 412, 672, 240 |
2 | 259, 703, 206, 336, 120 |
2 | 259, 703, 103, 168, 60 |
2 | 259, 703, 103, 84, 30 |
3 | 259, 703, 103, 42, 15 |
7 | 259, 703, 103, 14, 5 |
37 | 37, 703, 103, 2, 5 |
1, 19, 103, 2, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 7 x 37 x 1 x 19 x 103 x 2 x 5 = 243294240
Therefore, the lowest common multiple of 259,703,412,672,240 is 243294240.
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.
259 x 703 x 412 x 672 x 240 = 12098535966720
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.
259 : 1, 7, 37, 259
703 : 1, 19, 37, 703
412 : 1, 2, 4, 103, 206, 412
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 259,703,412,672,240, is 1.
Now, the common factors can be found like this.
259:7x 37
703:19x 37
412:2x 2x 103
672:2x 2x 2x 2x 2x 3x 7
240:2x 2x 2x 2x 3x 5
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 2x 2x 2x 2x 3x 7x 37 = 49728
Therefore, the value for common factors is 49728.
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 = 12098535966720/(1x49728)
LCM = 12098535966720/49728
LCM = 243294240
Thus, we can understand that the LCM of 259,703,412,672,240 is 243294240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 259, 703, 412, 672, 240?
Answer: LCM of 259, 703, 412, 672, 240 is 243294240.
2. How to calculate the LCM of 259, 703, 412, 672, 240?
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 259, 703, 412, 672, 240.
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}.