Find the LCM of 229, 796, 540, 507, 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 229, 796, 540, 507, 936. So, keep reading to learn more.
Given numbers are 229,796,540,507,936
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 229,796,540,507,936 is 8317618920.
Find LCM of 229,796,540,507,936 with Prime Factorization
2 | 229, 796, 540, 507, 936 |
2 | 229, 398, 270, 507, 468 |
3 | 229, 199, 135, 507, 234 |
3 | 229, 199, 45, 169, 78 |
13 | 229, 199, 15, 169, 26 |
229, 199, 15, 13, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 229 x 199 x 15 x 13 x 2 = 8317618920
Therefore, the lowest common multiple of 229,796,540,507,936 is 8317618920.
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.
229 x 796 x 540 x 507 x 936 = 46711747854720
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.
229 : 1, 229
796 : 1, 2, 4, 199, 398, 796
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
507 : 1, 3, 13, 39, 169, 507
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 229,796,540,507,936, is 1.
Now, the common factors can be found like this.
229:229
796:2x 2x 199
540:2x 2x 3x 3x 3x 5
507:3x 13x 13
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.
2x 2x 2x 2x 3x 3x 3x 13 = 5616
Therefore, the value for common factors is 5616.
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 = 46711747854720/(1x5616)
LCM = 46711747854720/5616
LCM = 8317618920
Thus, we can understand that the LCM of 229,796,540,507,936 is 8317618920.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 229, 796, 540, 507, 936?
Answer: LCM of 229, 796, 540, 507, 936 is 8317618920.
2. How to calculate the LCM of 229, 796, 540, 507, 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 229, 796, 540, 507, 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}.