Find the LCM of 771, 940, 522, 846, 236 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 771, 940, 522, 846, 236. So, keep reading to learn more.
Given numbers are 771,940,522,846,236
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 771,940,522,846,236 is 3720090420.
Find LCM of 771,940,522,846,236 with Prime Factorization
2 | 771, 940, 522, 846, 236 |
2 | 771, 470, 261, 423, 118 |
3 | 771, 235, 261, 423, 59 |
3 | 257, 235, 87, 141, 59 |
47 | 257, 235, 29, 47, 59 |
257, 5, 29, 1, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 47 x 257 x 5 x 29 x 1 x 59 = 3720090420
Therefore, the lowest common multiple of 771,940,522,846,236 is 3720090420.
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.
771 x 940 x 522 x 846 x 236 = 75532715887680
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.
771 : 1, 3, 257, 771
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
236 : 1, 2, 4, 59, 118, 236
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 771,940,522,846,236, is 1.
Now, the common factors can be found like this.
771:3x 257
940:2x 2x 5x 47
522:2x 3x 3x 29
846:2x 3x 3x 47
236:2x 2x 59
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 3x 3x 3x 47 = 20304
Therefore, the value for common factors is 20304.
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 = 75532715887680/(1x20304)
LCM = 75532715887680/20304
LCM = 3720090420
Thus, we can understand that the LCM of 771,940,522,846,236 is 3720090420.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 771, 940, 522, 846, 236?
Answer: LCM of 771, 940, 522, 846, 236 is 3720090420.
2. How to calculate the LCM of 771, 940, 522, 846, 236?
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 771, 940, 522, 846, 236.
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}.