Find the LCM of 931, 813, 781, 740, 838 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 931, 813, 781, 740, 838. So, keep reading to learn more.
Given numbers are 931,813,781,740,838
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 931,813,781,740,838 is 183289253804580.
Find LCM of 931,813,781,740,838 with Prime Factorization
2 | 931, 813, 781, 740, 838 |
931, 813, 781, 370, 419 |
Multiply the prime numbers at the bottom and the left side.
2 x 931 x 813 x 781 x 370 x 419 = 183289253804580
Therefore, the lowest common multiple of 931,813,781,740,838 is 183289253804580.
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.
931 x 813 x 781 x 740 x 838 = 366578507609160
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.
931 : 1, 7, 19, 49, 133, 931
813 : 1, 3, 271, 813
781 : 1, 11, 71, 781
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
838 : 1, 2, 419, 838
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 931,813,781,740,838, is 1.
Now, the common factors can be found like this.
931:7x 7x 19
813:3x 271
781:11x 71
740:2x 2x 5x 37
838:2x 419
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 366578507609160/(1x2)
LCM = 366578507609160/2
LCM = 183289253804580
Thus, we can understand that the LCM of 931,813,781,740,838 is 183289253804580.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 931, 813, 781, 740, 838?
Answer: LCM of 931, 813, 781, 740, 838 is 183289253804580.
2. How to calculate the LCM of 931, 813, 781, 740, 838?
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 931, 813, 781, 740, 838.
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}.