LCM of 557, 206, 258, 854
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 557, 206, 258, 854 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 557, 206, 258, 854. So, keep reading to learn more.
Given numbers are 557,206,258,854
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 557,206,258,854 is 6320333586.
Find LCM of 557,206,258,854 with Prime Factorization
| 2 | 557, 206, 258, 854 |
| 557, 103, 129, 427 |
Multiply the prime numbers at the bottom and the left side.
2 x 557 x 103 x 129 x 427 = 6320333586
Therefore, the lowest common multiple of 557,206,258,854 is 6320333586.
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.
557 x 206 x 258 x 854 = 25281334344
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.
557 : 1, 557
206 : 1, 2, 103, 206
258 : 1, 2, 3, 6, 43, 86, 129, 258
854 : 1, 2, 7, 14, 61, 122, 427, 854
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 557,206,258,854, is 1.
Now, the common factors can be found like this.
557:557
206:2x 103
258:2x 3x 43
854:2x 7x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 25281334344/(1x4)
LCM = 25281334344/4
LCM = 6320333586
Thus, we can understand that the LCM of 557,206,258,854 is 6320333586.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 557, 206, 258, 854
1. What is the LCM of 557, 206, 258, 854?
Answer: LCM of 557, 206, 258, 854 is 6320333586.
2. How to calculate the LCM of 557, 206, 258, 854?
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 557, 206, 258, 854.
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}.