Find the LCM of 559, 715, 759, 266 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 559, 715, 759, 266. So, keep reading to learn more.
Given numbers are 559,715,759,266
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 559,715,759,266 is 564293730.
Find LCM of 559,715,759,266 with Prime Factorization
11 | 559, 715, 759, 266 |
13 | 559, 65, 69, 266 |
43, 5, 69, 266 |
Multiply the prime numbers at the bottom and the left side.
11 x 13 x 43 x 5 x 69 x 266 = 564293730
Therefore, the lowest common multiple of 559,715,759,266 is 564293730.
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.
559 x 715 x 759 x 266 = 80694003390
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.
559 : 1, 13, 43, 559
715 : 1, 5, 11, 13, 55, 65, 143, 715
759 : 1, 3, 11, 23, 33, 69, 253, 759
266 : 1, 2, 7, 14, 19, 38, 133, 266
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 559,715,759,266, is 1.
Now, the common factors can be found like this.
559:13x 43
715:5x 11x 13
759:3x 11x 23
266:2x 7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 13 = 143
Therefore, the value for common factors is 143.
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 = 80694003390/(1x143)
LCM = 80694003390/143
LCM = 564293730
Thus, we can understand that the LCM of 559,715,759,266 is 564293730.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 559, 715, 759, 266?
Answer: LCM of 559, 715, 759, 266 is 564293730.
2. How to calculate the LCM of 559, 715, 759, 266?
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 559, 715, 759, 266.
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}.