LCM of 257, 357, 771, 510
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 257, 357, 771, 510 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, 357, 771, 510. So, keep reading to learn more.
Given numbers are 257,357,771,510
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 257,357,771,510 is 917490.
Find LCM of 257,357,771,510 with Prime Factorization
| 3 | 257, 357, 771, 510 |
| 17 | 257, 119, 257, 170 |
| 257 | 257, 7, 257, 10 |
| 1, 7, 1, 10 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 257 x 1 x 7 x 1 x 10 = 917490
Therefore, the lowest common multiple of 257,357,771,510 is 917490.
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 357 x 771 x 510 = 36076624290
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
357 : 1, 3, 7, 17, 21, 51, 119, 357
771 : 1, 3, 257, 771
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,357,771,510, is 1.
Now, the common factors can be found like this.
257:257
357:3x 7x 17
771:3x 257
510:2x 3x 5x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 17x 257 = 39321
Therefore, the value for common factors is 39321.
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 = 36076624290/(1x39321)
LCM = 36076624290/39321
LCM = 917490
Thus, we can understand that the LCM of 257,357,771,510 is 917490.
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FAQs on LCM of 257, 357, 771, 510
1. What is the LCM of 257, 357, 771, 510?
Answer: LCM of 257, 357, 771, 510 is 917490.
2. How to calculate the LCM of 257, 357, 771, 510?
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, 357, 771, 510.
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}.