Find the LCM of 573, 910, 693, 966, 869 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 573, 910, 693, 966, 869. So, keep reading to learn more.
Given numbers are 573,910,693,966,869
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 573,910,693,966,869 is 31265464230.
Find LCM of 573,910,693,966,869 with Prime Factorization
2 | 573, 910, 693, 966, 869 |
3 | 573, 455, 693, 483, 869 |
7 | 191, 455, 231, 161, 869 |
11 | 191, 65, 33, 23, 869 |
191, 65, 3, 23, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 191 x 65 x 3 x 23 x 79 = 31265464230
Therefore, the lowest common multiple of 573,910,693,966,869 is 31265464230.
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.
573 x 910 x 693 x 966 x 869 = 303337533959460
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.
573 : 1, 3, 191, 573
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
869 : 1, 11, 79, 869
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 573,910,693,966,869, is 1.
Now, the common factors can be found like this.
573:3x 191
910:2x 5x 7x 13
693:3x 3x 7x 11
966:2x 3x 7x 23
869:11x 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 3x 3x 7x 7x 11 = 9702
Therefore, the value for common factors is 9702.
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 = 303337533959460/(1x9702)
LCM = 303337533959460/9702
LCM = 31265464230
Thus, we can understand that the LCM of 573,910,693,966,869 is 31265464230.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 573, 910, 693, 966, 869?
Answer: LCM of 573, 910, 693, 966, 869 is 31265464230.
2. How to calculate the LCM of 573, 910, 693, 966, 869?
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 573, 910, 693, 966, 869.
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}.