LCM of 348, 893, 596, 696, 257
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 348, 893, 596, 696, 257 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 348, 893, 596, 696, 257. So, keep reading to learn more.
Given numbers are 348,893,596,696,257
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 348,893,596,696,257 is 23800171704.
Find LCM of 348,893,596,696,257 with Prime Factorization
| 2 | 348, 893, 596, 696, 257 |
| 2 | 174, 893, 298, 348, 257 |
| 3 | 87, 893, 149, 174, 257 |
| 29 | 29, 893, 149, 58, 257 |
| 1, 893, 149, 2, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 29 x 1 x 893 x 149 x 2 x 257 = 23800171704
Therefore, the lowest common multiple of 348,893,596,696,257 is 23800171704.
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.
348 x 893 x 596 x 696 x 257 = 33129839011968
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.
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
893 : 1, 19, 47, 893
596 : 1, 2, 4, 149, 298, 596
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
257 : 1, 257
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,893,596,696,257, is 1.
Now, the common factors can be found like this.
348:2x 2x 3x 29
893:19x 47
596:2x 2x 149
696:2x 2x 2x 3x 29
257:257
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 3x 29 = 1392
Therefore, the value for common factors is 1392.
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 = 33129839011968/(1x1392)
LCM = 33129839011968/1392
LCM = 23800171704
Thus, we can understand that the LCM of 348,893,596,696,257 is 23800171704.
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FAQs on LCM of 348, 893, 596, 696, 257
1. What is the LCM of 348, 893, 596, 696, 257?
Answer: LCM of 348, 893, 596, 696, 257 is 23800171704.
2. How to calculate the LCM of 348, 893, 596, 696, 257?
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 348, 893, 596, 696, 257.
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}.