LCM of 598, 979, 782, 754
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 598, 979, 782, 754 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 598, 979, 782, 754. So, keep reading to learn more.
Given numbers are 598,979,782,754
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,979,782,754 is 288622906.
Find LCM of 598,979,782,754 with Prime Factorization
| 2 | 598, 979, 782, 754 |
| 13 | 299, 979, 391, 377 |
| 23 | 23, 979, 391, 29 |
| 1, 979, 17, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 23 x 1 x 979 x 17 x 29 = 288622906
Therefore, the lowest common multiple of 598,979,782,754 is 288622906.
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.
598 x 979 x 782 x 754 = 345192995576
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.
598 : 1, 2, 13, 23, 26, 46, 299, 598
979 : 1, 11, 89, 979
782 : 1, 2, 17, 23, 34, 46, 391, 782
754 : 1, 2, 13, 26, 29, 58, 377, 754
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,979,782,754, is 1.
Now, the common factors can be found like this.
598:2x 13x 23
979:11x 89
782:2x 17x 23
754:2x 13x 29
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 13x 23 = 1196
Therefore, the value for common factors is 1196.
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 = 345192995576/(1x1196)
LCM = 345192995576/1196
LCM = 288622906
Thus, we can understand that the LCM of 598,979,782,754 is 288622906.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 598, 979, 782, 754
1. What is the LCM of 598, 979, 782, 754?
Answer: LCM of 598, 979, 782, 754 is 288622906.
2. How to calculate the LCM of 598, 979, 782, 754?
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 598, 979, 782, 754.
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}.