Find the LCM of 985, 315, 546, 884, 771 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 985, 315, 546, 884, 771. So, keep reading to learn more.
Given numbers are 985,315,546,884,771
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 985,315,546,884,771 is 14098151340.
Find LCM of 985,315,546,884,771 with Prime Factorization
2 | 985, 315, 546, 884, 771 |
3 | 985, 315, 273, 442, 771 |
5 | 985, 105, 91, 442, 257 |
7 | 197, 21, 91, 442, 257 |
13 | 197, 3, 13, 442, 257 |
197, 3, 1, 34, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 13 x 197 x 3 x 1 x 34 x 257 = 14098151340
Therefore, the lowest common multiple of 985,315,546,884,771 is 14098151340.
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.
985 x 315 x 546 x 884 x 771 = 115463859474600
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.
985 : 1, 5, 197, 985
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
771 : 1, 3, 257, 771
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 985,315,546,884,771, is 1.
Now, the common factors can be found like this.
985:5x 197
315:3x 3x 5x 7
546:2x 3x 7x 13
884:2x 2x 13x 17
771:3x 257
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 7x 13 = 8190
Therefore, the value for common factors is 8190.
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 = 115463859474600/(1x8190)
LCM = 115463859474600/8190
LCM = 14098151340
Thus, we can understand that the LCM of 985,315,546,884,771 is 14098151340.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 985, 315, 546, 884, 771?
Answer: LCM of 985, 315, 546, 884, 771 is 14098151340.
2. How to calculate the LCM of 985, 315, 546, 884, 771?
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 985, 315, 546, 884, 771.
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}.