LCM of 257, 452, 792, 913, 352
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 257, 452, 792, 913, 352 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, 452, 792, 913, 352. So, keep reading to learn more.
Given numbers are 257,452,792,913,352
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 257,452,792,913,352 is 7636156704.
Find LCM of 257,452,792,913,352 with Prime Factorization
| 2 | 257, 452, 792, 913, 352 |
| 2 | 257, 226, 396, 913, 176 |
| 2 | 257, 113, 198, 913, 88 |
| 11 | 257, 113, 99, 913, 44 |
| 257, 113, 9, 83, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 257 x 113 x 9 x 83 x 4 = 7636156704
Therefore, the lowest common multiple of 257,452,792,913,352 is 7636156704.
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 452 x 792 x 913 x 352 = 29567198757888
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
452 : 1, 2, 4, 113, 226, 452
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
913 : 1, 11, 83, 913
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,452,792,913,352, is 1.
Now, the common factors can be found like this.
257:257
452:2x 2x 113
792:2x 2x 2x 3x 3x 11
913:11x 83
352:2x 2x 2x 2x 2x 11
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 2x 11x 11 = 3872
Therefore, the value for common factors is 3872.
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 = 29567198757888/(1x3872)
LCM = 29567198757888/3872
LCM = 7636156704
Thus, we can understand that the LCM of 257,452,792,913,352 is 7636156704.
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FAQs on LCM of 257, 452, 792, 913, 352
1. What is the LCM of 257, 452, 792, 913, 352?
Answer: LCM of 257, 452, 792, 913, 352 is 7636156704.
2. How to calculate the LCM of 257, 452, 792, 913, 352?
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, 452, 792, 913, 352.
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}.