LCM of 778, 849, 418, 264, 599
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 778, 849, 418, 264, 599 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 778, 849, 418, 264, 599. So, keep reading to learn more.
Given numbers are 778,849,418,264,599
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 778,849,418,264,599 is 330765638808.
Find LCM of 778,849,418,264,599 with Prime Factorization
| 2 | 778, 849, 418, 264, 599 |
| 3 | 389, 849, 209, 132, 599 |
| 11 | 389, 283, 209, 44, 599 |
| 389, 283, 19, 4, 599 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 389 x 283 x 19 x 4 x 599 = 330765638808
Therefore, the lowest common multiple of 778,849,418,264,599 is 330765638808.
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.
778 x 849 x 418 x 264 x 599 = 43661064322656
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.
778 : 1, 2, 389, 778
849 : 1, 3, 283, 849
418 : 1, 2, 11, 19, 22, 38, 209, 418
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
599 : 1, 599
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 778,849,418,264,599, is 1.
Now, the common factors can be found like this.
778:2x 389
849:3x 283
418:2x 11x 19
264:2x 2x 2x 3x 11
599:599
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 3x 11 = 132
Therefore, the value for common factors is 132.
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 = 43661064322656/(1x132)
LCM = 43661064322656/132
LCM = 330765638808
Thus, we can understand that the LCM of 778,849,418,264,599 is 330765638808.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 778, 849, 418, 264, 599
1. What is the LCM of 778, 849, 418, 264, 599?
Answer: LCM of 778, 849, 418, 264, 599 is 330765638808.
2. How to calculate the LCM of 778, 849, 418, 264, 599?
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 778, 849, 418, 264, 599.
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}.