Find the LCM of 931, 265, 911, 533, 936 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, 265, 911, 533, 936. So, keep reading to learn more.
Given numbers are 931,265,911,533,936
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 931,265,911,533,936 is 8625288639240.
Find LCM of 931,265,911,533,936 with Prime Factorization
13 | 931, 265, 911, 533, 936 |
931, 265, 911, 41, 72 |
Multiply the prime numbers at the bottom and the left side.
13 x 931 x 265 x 911 x 41 x 72 = 8625288639240
Therefore, the lowest common multiple of 931,265,911,533,936 is 8625288639240.
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 265 x 911 x 533 x 936 = 112128752310120
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
265 : 1, 5, 53, 265
911 : 1, 911
533 : 1, 13, 41, 533
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 931,265,911,533,936, is 1.
Now, the common factors can be found like this.
931:7x 7x 19
265:5x 53
911:911
533:13x 41
936:2x 2x 2x 3x 3x 13
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 = 112128752310120/(1x13)
LCM = 112128752310120/13
LCM = 8625288639240
Thus, we can understand that the LCM of 931,265,911,533,936 is 8625288639240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 931, 265, 911, 533, 936?
Answer: LCM of 931, 265, 911, 533, 936 is 8625288639240.
2. How to calculate the LCM of 931, 265, 911, 533, 936?
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, 265, 911, 533, 936.
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}.