Find the LCM of 943, 871, 884, 693 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 943, 871, 884, 693. So, keep reading to learn more.
Given numbers are 943,871,884,693
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 943,871,884,693 is 38705438772.
Find LCM of 943,871,884,693 with Prime Factorization
13 | 943, 871, 884, 693 |
943, 67, 68, 693 |
Multiply the prime numbers at the bottom and the left side.
13 x 943 x 67 x 68 x 693 = 38705438772
Therefore, the lowest common multiple of 943,871,884,693 is 38705438772.
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.
943 x 871 x 884 x 693 = 503170704036
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.
943 : 1, 23, 41, 943
871 : 1, 13, 67, 871
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 943,871,884,693, is 1.
Now, the common factors can be found like this.
943:23x 41
871:13x 67
884:2x 2x 13x 17
693:3x 3x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 503170704036/(1x13)
LCM = 503170704036/13
LCM = 38705438772
Thus, we can understand that the LCM of 943,871,884,693 is 38705438772.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 943, 871, 884, 693?
Answer: LCM of 943, 871, 884, 693 is 38705438772.
2. How to calculate the LCM of 943, 871, 884, 693?
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 943, 871, 884, 693.
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}.