Find the LCM of 727, 257, 498, 261 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 727, 257, 498, 261. So, keep reading to learn more.
Given numbers are 727,257,498,261
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 727,257,498,261 is 8094986514.
Find LCM of 727,257,498,261 with Prime Factorization
3 | 727, 257, 498, 261 |
727, 257, 166, 87 |
Multiply the prime numbers at the bottom and the left side.
3 x 727 x 257 x 166 x 87 = 8094986514
Therefore, the lowest common multiple of 727,257,498,261 is 8094986514.
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.
727 x 257 x 498 x 261 = 24284959542
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.
727 : 1, 727
257 : 1, 257
498 : 1, 2, 3, 6, 83, 166, 249, 498
261 : 1, 3, 9, 29, 87, 261
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 727,257,498,261, is 1.
Now, the common factors can be found like this.
727:727
257:257
498:2x 3x 83
261:3x 3x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 24284959542/(1x3)
LCM = 24284959542/3
LCM = 8094986514
Thus, we can understand that the LCM of 727,257,498,261 is 8094986514.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 727, 257, 498, 261?
Answer: LCM of 727, 257, 498, 261 is 8094986514.
2. How to calculate the LCM of 727, 257, 498, 261?
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 727, 257, 498, 261.
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}.