LCM of 703, 512, 240, 593, 779
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 703, 512, 240, 593, 779 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 703, 512, 240, 593, 779. So, keep reading to learn more.
Given numbers are 703,512,240,593,779
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 703,512,240,593,779 is 131266859520.
Find LCM of 703,512,240,593,779 with Prime Factorization
| 2 | 703, 512, 240, 593, 779 |
| 2 | 703, 256, 120, 593, 779 |
| 2 | 703, 128, 60, 593, 779 |
| 2 | 703, 64, 30, 593, 779 |
| 19 | 703, 32, 15, 593, 779 |
| 37, 32, 15, 593, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 19 x 37 x 32 x 15 x 593 x 41 = 131266859520
Therefore, the lowest common multiple of 703,512,240,593,779 is 131266859520.
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.
703 x 512 x 240 x 593 x 779 = 39905125294080
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.
703 : 1, 19, 37, 703
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
593 : 1, 593
779 : 1, 19, 41, 779
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 703,512,240,593,779, is 1.
Now, the common factors can be found like this.
703:19x 37
512:2x 2x 2x 2x 2x 2x 2x 2x 2
240:2x 2x 2x 2x 3x 5
593:593
779:19x 41
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 19 = 304
Therefore, the value for common factors is 304.
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 = 39905125294080/(1x304)
LCM = 39905125294080/304
LCM = 131266859520
Thus, we can understand that the LCM of 703,512,240,593,779 is 131266859520.
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FAQs on LCM of 703, 512, 240, 593, 779
1. What is the LCM of 703, 512, 240, 593, 779?
Answer: LCM of 703, 512, 240, 593, 779 is 131266859520.
2. How to calculate the LCM of 703, 512, 240, 593, 779?
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 703, 512, 240, 593, 779.
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}.