LCM of 703, 614, 703, 148, 512
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 703, 614, 703, 148, 512 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, 614, 703, 148, 512. So, keep reading to learn more.
Given numbers are 703,614,703,148,512
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 703,614,703,148,512 is 110500352.
Find LCM of 703,614,703,148,512 with Prime Factorization
| 2 | 703, 614, 703, 148, 512 |
| 2 | 703, 307, 703, 74, 256 |
| 19 | 703, 307, 703, 37, 128 |
| 37 | 37, 307, 37, 37, 128 |
| 1, 307, 1, 1, 128 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 37 x 1 x 307 x 1 x 1 x 128 = 110500352
Therefore, the lowest common multiple of 703,614,703,148,512 is 110500352.
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 614 x 703 x 148 x 512 = 22993797246976
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
614 : 1, 2, 307, 614
703 : 1, 19, 37, 703
148 : 1, 2, 4, 37, 74, 148
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 703,614,703,148,512, is 1.
Now, the common factors can be found like this.
703:19x 37
614:2x 307
703:19x 37
148:2x 2x 37
512:2x 2x 2x 2x 2x 2x 2x 2x 2
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 19x 37x 37 = 208088
Therefore, the value for common factors is 208088.
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 = 22993797246976/(1x208088)
LCM = 22993797246976/208088
LCM = 110500352
Thus, we can understand that the LCM of 703,614,703,148,512 is 110500352.
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FAQs on LCM of 703, 614, 703, 148, 512
1. What is the LCM of 703, 614, 703, 148, 512?
Answer: LCM of 703, 614, 703, 148, 512 is 110500352.
2. How to calculate the LCM of 703, 614, 703, 148, 512?
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, 614, 703, 148, 512.
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}.