LCM of 569, 866, 935, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 569, 866, 935, 748 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 569, 866, 935, 748. So, keep reading to learn more.
Given numbers are 569,866,935,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 569,866,935,748 is 921449980.
Find LCM of 569,866,935,748 with Prime Factorization
| 2 | 569, 866, 935, 748 |
| 11 | 569, 433, 935, 374 |
| 17 | 569, 433, 85, 34 |
| 569, 433, 5, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 17 x 569 x 433 x 5 x 2 = 921449980
Therefore, the lowest common multiple of 569,866,935,748 is 921449980.
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.
569 x 866 x 935 x 748 = 344622292520
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.
569 : 1, 569
866 : 1, 2, 433, 866
935 : 1, 5, 11, 17, 55, 85, 187, 935
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 569,866,935,748, is 1.
Now, the common factors can be found like this.
569:569
866:2x 433
935:5x 11x 17
748:2x 2x 11x 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 11x 17 = 374
Therefore, the value for common factors is 374.
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 = 344622292520/(1x374)
LCM = 344622292520/374
LCM = 921449980
Thus, we can understand that the LCM of 569,866,935,748 is 921449980.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 569, 866, 935, 748
1. What is the LCM of 569, 866, 935, 748?
Answer: LCM of 569, 866, 935, 748 is 921449980.
2. How to calculate the LCM of 569, 866, 935, 748?
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 569, 866, 935, 748.
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}.