LCM of 257, 466, 896, 145, 990
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 257, 466, 896, 145, 990 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, 466, 896, 145, 990. So, keep reading to learn more.
Given numbers are 257,466,896,145,990
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 257,466,896,145,990 is 770194212480.
Find LCM of 257,466,896,145,990 with Prime Factorization
| 2 | 257, 466, 896, 145, 990 |
| 5 | 257, 233, 448, 145, 495 |
| 257, 233, 448, 29, 99 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 257 x 233 x 448 x 29 x 99 = 770194212480
Therefore, the lowest common multiple of 257,466,896,145,990 is 770194212480.
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 466 x 896 x 145 x 990 = 15403884249600
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
466 : 1, 2, 233, 466
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
145 : 1, 5, 29, 145
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,466,896,145,990, is 1.
Now, the common factors can be found like this.
257:257
466:2x 233
896:2x 2x 2x 2x 2x 2x 2x 7
145:5x 29
990:2x 3x 3x 5x 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 5 = 20
Therefore, the value for common factors is 20.
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 = 15403884249600/(1x20)
LCM = 15403884249600/20
LCM = 770194212480
Thus, we can understand that the LCM of 257,466,896,145,990 is 770194212480.
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FAQs on LCM of 257, 466, 896, 145, 990
1. What is the LCM of 257, 466, 896, 145, 990?
Answer: LCM of 257, 466, 896, 145, 990 is 770194212480.
2. How to calculate the LCM of 257, 466, 896, 145, 990?
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, 466, 896, 145, 990.
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}.