LCM of 257, 934, 532, 672, 258
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 257, 934, 532, 672, 258 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 257, 934, 532, 672, 258. So, keep reading to learn more.
Given numbers are 257,934,532,672,258
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 257,934,532,672,258 is 65893311456.
Find LCM of 257,934,532,672,258 with Prime Factorization
| 2 | 257, 934, 532, 672, 258 |
| 2 | 257, 467, 266, 336, 129 |
| 3 | 257, 467, 133, 168, 129 |
| 7 | 257, 467, 133, 56, 43 |
| 257, 467, 19, 8, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 257 x 467 x 19 x 8 x 43 = 65893311456
Therefore, the lowest common multiple of 257,934,532,672,258 is 65893311456.
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.
257 x 934 x 532 x 672 x 258 = 22140152649216
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.
257 : 1, 257
934 : 1, 2, 467, 934
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
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
258 : 1, 2, 3, 6, 43, 86, 129, 258
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,934,532,672,258, is 1.
Now, the common factors can be found like this.
257:257
934:2x 467
532:2x 2x 7x 19
672:2x 2x 2x 2x 2x 3x 7
258:2x 3x 43
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 7 = 336
Therefore, the value for common factors is 336.
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 = 22140152649216/(1x336)
LCM = 22140152649216/336
LCM = 65893311456
Thus, we can understand that the LCM of 257,934,532,672,258 is 65893311456.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 257, 934, 532, 672, 258
1. What is the LCM of 257, 934, 532, 672, 258?
Answer: LCM of 257, 934, 532, 672, 258 is 65893311456.
2. How to calculate the LCM of 257, 934, 532, 672, 258?
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 257, 934, 532, 672, 258.
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}.