Find the LCM of 568, 932, 714, 777, 867 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 568, 932, 714, 777, 867. So, keep reading to learn more.
Given numbers are 568,932,714,777,867
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 568,932,714,777,867 is 29718242232.
Find LCM of 568,932,714,777,867 with Prime Factorization
2 | 568, 932, 714, 777, 867 |
2 | 284, 466, 357, 777, 867 |
3 | 142, 233, 357, 777, 867 |
7 | 142, 233, 119, 259, 289 |
17 | 142, 233, 17, 37, 289 |
142, 233, 1, 37, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 17 x 142 x 233 x 1 x 37 x 17 = 29718242232
Therefore, the lowest common multiple of 568,932,714,777,867 is 29718242232.
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.
568 x 932 x 714 x 777 x 867 = 254625899443776
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.
568 : 1, 2, 4, 8, 71, 142, 284, 568
932 : 1, 2, 4, 233, 466, 932
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
777 : 1, 3, 7, 21, 37, 111, 259, 777
867 : 1, 3, 17, 51, 289, 867
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 568,932,714,777,867, is 1.
Now, the common factors can be found like this.
568:2x 2x 2x 71
932:2x 2x 233
714:2x 3x 7x 17
777:3x 7x 37
867:3x 17x 17
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 3x 3x 7x 17 = 8568
Therefore, the value for common factors is 8568.
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 = 254625899443776/(1x8568)
LCM = 254625899443776/8568
LCM = 29718242232
Thus, we can understand that the LCM of 568,932,714,777,867 is 29718242232.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 568, 932, 714, 777, 867?
Answer: LCM of 568, 932, 714, 777, 867 is 29718242232.
2. How to calculate the LCM of 568, 932, 714, 777, 867?
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 568, 932, 714, 777, 867.
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}.