LCM of 586, 659, 759, 628, 932
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 586, 659, 759, 628, 932 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 586, 659, 759, 628, 932. So, keep reading to learn more.
Given numbers are 586,659,759,628,932
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 586,659,759,628,932 is 21444226000692.
Find LCM of 586,659,759,628,932 with Prime Factorization
| 2 | 586, 659, 759, 628, 932 |
| 2 | 293, 659, 759, 314, 466 |
| 293, 659, 759, 157, 233 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 293 x 659 x 759 x 157 x 233 = 21444226000692
Therefore, the lowest common multiple of 586,659,759,628,932 is 21444226000692.
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.
586 x 659 x 759 x 628 x 932 = 171553808005536
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.
586 : 1, 2, 293, 586
659 : 1, 659
759 : 1, 3, 11, 23, 33, 69, 253, 759
628 : 1, 2, 4, 157, 314, 628
932 : 1, 2, 4, 233, 466, 932
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,659,759,628,932, is 1.
Now, the common factors can be found like this.
586:2x 293
659:659
759:3x 11x 23
628:2x 2x 157
932:2x 2x 233
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 2 = 8
Therefore, the value for common factors is 8.
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 = 171553808005536/(1x8)
LCM = 171553808005536/8
LCM = 21444226000692
Thus, we can understand that the LCM of 586,659,759,628,932 is 21444226000692.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 586, 659, 759, 628, 932
1. What is the LCM of 586, 659, 759, 628, 932?
Answer: LCM of 586, 659, 759, 628, 932 is 21444226000692.
2. How to calculate the LCM of 586, 659, 759, 628, 932?
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 586, 659, 759, 628, 932.
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}.