LCM of 257, 280, 474, 790
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 257, 280, 474, 790 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, 280, 474, 790. So, keep reading to learn more.
Given numbers are 257,280,474,790
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 257,280,474,790 is 17054520.
Find LCM of 257,280,474,790 with Prime Factorization
| 2 | 257, 280, 474, 790 |
| 5 | 257, 140, 237, 395 |
| 79 | 257, 28, 237, 79 |
| 257, 28, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 79 x 257 x 28 x 3 x 1 = 17054520
Therefore, the lowest common multiple of 257,280,474,790 is 17054520.
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 280 x 474 x 790 = 26946141600
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
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
474 : 1, 2, 3, 6, 79, 158, 237, 474
790 : 1, 2, 5, 10, 79, 158, 395, 790
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,280,474,790, is 1.
Now, the common factors can be found like this.
257:257
280:2x 2x 2x 5x 7
474:2x 3x 79
790:2x 5x 79
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 5x 79 = 1580
Therefore, the value for common factors is 1580.
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 = 26946141600/(1x1580)
LCM = 26946141600/1580
LCM = 17054520
Thus, we can understand that the LCM of 257,280,474,790 is 17054520.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 257, 280, 474, 790
1. What is the LCM of 257, 280, 474, 790?
Answer: LCM of 257, 280, 474, 790 is 17054520.
2. How to calculate the LCM of 257, 280, 474, 790?
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, 280, 474, 790.
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}.