LCM of 579, 418, 209, 745
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 579, 418, 209, 745 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 579, 418, 209, 745. So, keep reading to learn more.
Given numbers are 579,418,209,745
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 579,418,209,745 is 180306390.
Find LCM of 579,418,209,745 with Prime Factorization
| 11 | 579, 418, 209, 745 |
| 19 | 579, 38, 19, 745 |
| 579, 2, 1, 745 |
Multiply the prime numbers at the bottom and the left side.
11 x 19 x 579 x 2 x 1 x 745 = 180306390
Therefore, the lowest common multiple of 579,418,209,745 is 180306390.
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.
579 x 418 x 209 x 745 = 37684035510
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.
579 : 1, 3, 193, 579
418 : 1, 2, 11, 19, 22, 38, 209, 418
209 : 1, 11, 19, 209
745 : 1, 5, 149, 745
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 579,418,209,745, is 1.
Now, the common factors can be found like this.
579:3x 193
418:2x 11x 19
209:11x 19
745:5x 149
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 19 = 209
Therefore, the value for common factors is 209.
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 = 37684035510/(1x209)
LCM = 37684035510/209
LCM = 180306390
Thus, we can understand that the LCM of 579,418,209,745 is 180306390.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 579, 418, 209, 745
1. What is the LCM of 579, 418, 209, 745?
Answer: LCM of 579, 418, 209, 745 is 180306390.
2. How to calculate the LCM of 579, 418, 209, 745?
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 579, 418, 209, 745.
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}.