LCM of 579, 258, 674, 674, 133
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 579, 258, 674, 674, 133 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, 258, 674, 674, 133. So, keep reading to learn more.
Given numbers are 579,258,674,674,133
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 579,258,674,674,133 is 2231816874.
Find LCM of 579,258,674,674,133 with Prime Factorization
| 2 | 579, 258, 674, 674, 133 |
| 3 | 579, 129, 337, 337, 133 |
| 337 | 193, 43, 337, 337, 133 |
| 193, 43, 1, 1, 133 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 337 x 193 x 43 x 1 x 1 x 133 = 2231816874
Therefore, the lowest common multiple of 579,258,674,674,133 is 2231816874.
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 258 x 674 x 674 x 133 = 9025467438456
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
258 : 1, 2, 3, 6, 43, 86, 129, 258
674 : 1, 2, 337, 674
674 : 1, 2, 337, 674
133 : 1, 7, 19, 133
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 579,258,674,674,133, is 1.
Now, the common factors can be found like this.
579:3x 193
258:2x 3x 43
674:2x 337
674:2x 337
133:7x 19
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 337 = 4044
Therefore, the value for common factors is 4044.
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 = 9025467438456/(1x4044)
LCM = 9025467438456/4044
LCM = 2231816874
Thus, we can understand that the LCM of 579,258,674,674,133 is 2231816874.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 579, 258, 674, 674, 133
1. What is the LCM of 579, 258, 674, 674, 133?
Answer: LCM of 579, 258, 674, 674, 133 is 2231816874.
2. How to calculate the LCM of 579, 258, 674, 674, 133?
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, 258, 674, 674, 133.
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}.