LCM of 557, 172, 172, 258
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 557, 172, 172, 258 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, 172, 172, 258. So, keep reading to learn more.
Given numbers are 557,172,172,258
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 557,172,172,258 is 287412.
Find LCM of 557,172,172,258 with Prime Factorization
| 2 | 557, 172, 172, 258 |
| 2 | 557, 86, 86, 129 |
| 43 | 557, 43, 43, 129 |
| 557, 1, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 43 x 557 x 1 x 1 x 3 = 287412
Therefore, the lowest common multiple of 557,172,172,258 is 287412.
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 172 x 172 x 258 = 4251398304
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
172 : 1, 2, 4, 43, 86, 172
172 : 1, 2, 4, 43, 86, 172
258 : 1, 2, 3, 6, 43, 86, 129, 258
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 557,172,172,258, is 1.
Now, the common factors can be found like this.
557:557
172:2x 2x 43
172:2x 2x 43
258:2x 3x 43
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 2x 43x 43 = 14792
Therefore, the value for common factors is 14792.
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 = 4251398304/(1x14792)
LCM = 4251398304/14792
LCM = 287412
Thus, we can understand that the LCM of 557,172,172,258 is 287412.
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FAQs on LCM of 557, 172, 172, 258
1. What is the LCM of 557, 172, 172, 258?
Answer: LCM of 557, 172, 172, 258 is 287412.
2. How to calculate the LCM of 557, 172, 172, 258?
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, 172, 172, 258.
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}.