Find the LCM of 568, 568, 149, 663 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, 568, 149, 663. So, keep reading to learn more.
Given numbers are 568,568,149,663
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 568,568,149,663 is 56111016.
Find LCM of 568,568,149,663 with Prime Factorization
2 | 568, 568, 149, 663 |
2 | 284, 284, 149, 663 |
2 | 142, 142, 149, 663 |
71 | 71, 71, 149, 663 |
1, 1, 149, 663 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 71 x 1 x 1 x 149 x 663 = 56111016
Therefore, the lowest common multiple of 568,568,149,663 is 56111016.
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 568 x 149 x 663 = 31871057088
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
568 : 1, 2, 4, 8, 71, 142, 284, 568
149 : 1, 149
663 : 1, 3, 13, 17, 39, 51, 221, 663
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 568,568,149,663, is 1.
Now, the common factors can be found like this.
568:2x 2x 2x 71
568:2x 2x 2x 71
149:149
663:3x 13x 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 71 = 568
Therefore, the value for common factors is 568.
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 = 31871057088/(1x568)
LCM = 31871057088/568
LCM = 56111016
Thus, we can understand that the LCM of 568,568,149,663 is 56111016.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 568, 568, 149, 663?
Answer: LCM of 568, 568, 149, 663 is 56111016.
2. How to calculate the LCM of 568, 568, 149, 663?
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, 568, 149, 663.
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}.