LCM of 702, 157, 288, 311, 414
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 702, 157, 288, 311, 414 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 702, 157, 288, 311, 414. So, keep reading to learn more.
Given numbers are 702,157,288,311,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 702,157,288,311,414 is 12613771872.
Find LCM of 702,157,288,311,414 with Prime Factorization
| 2 | 702, 157, 288, 311, 414 |
| 3 | 351, 157, 144, 311, 207 |
| 3 | 117, 157, 48, 311, 69 |
| 39, 157, 16, 311, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 39 x 157 x 16 x 311 x 23 = 12613771872
Therefore, the lowest common multiple of 702,157,288,311,414 is 12613771872.
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.
702 x 157 x 288 x 311 x 414 = 4086862086528
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.
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
157 : 1, 157
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
311 : 1, 311
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,157,288,311,414, is 1.
Now, the common factors can be found like this.
702:2x 3x 3x 3x 13
157:157
288:2x 2x 2x 2x 2x 3x 3
311:311
414:2x 3x 3x 23
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 3x 3x 3 = 324
Therefore, the value for common factors is 324.
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 = 4086862086528/(1x324)
LCM = 4086862086528/324
LCM = 12613771872
Thus, we can understand that the LCM of 702,157,288,311,414 is 12613771872.
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FAQs on LCM of 702, 157, 288, 311, 414
1. What is the LCM of 702, 157, 288, 311, 414?
Answer: LCM of 702, 157, 288, 311, 414 is 12613771872.
2. How to calculate the LCM of 702, 157, 288, 311, 414?
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 702, 157, 288, 311, 414.
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}.