LCM of 758, 583, 842, 902
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 758, 583, 842, 902 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 758, 583, 842, 902. So, keep reading to learn more.
Given numbers are 758,583,842,902
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 758,583,842,902 is 7627877554.
Find LCM of 758,583,842,902 with Prime Factorization
| 2 | 758, 583, 842, 902 |
| 11 | 379, 583, 421, 451 |
| 379, 53, 421, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 379 x 53 x 421 x 41 = 7627877554
Therefore, the lowest common multiple of 758,583,842,902 is 7627877554.
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.
758 x 583 x 842 x 902 = 335626612376
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.
758 : 1, 2, 379, 758
583 : 1, 11, 53, 583
842 : 1, 2, 421, 842
902 : 1, 2, 11, 22, 41, 82, 451, 902
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 758,583,842,902, is 1.
Now, the common factors can be found like this.
758:2x 379
583:11x 53
842:2x 421
902:2x 11x 41
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 11 = 44
Therefore, the value for common factors is 44.
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 = 335626612376/(1x44)
LCM = 335626612376/44
LCM = 7627877554
Thus, we can understand that the LCM of 758,583,842,902 is 7627877554.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 758, 583, 842, 902
1. What is the LCM of 758, 583, 842, 902?
Answer: LCM of 758, 583, 842, 902 is 7627877554.
2. How to calculate the LCM of 758, 583, 842, 902?
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 758, 583, 842, 902.
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}.