LCM of 557, 248, 143, 312, 191
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 557, 248, 143, 312, 191 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, 248, 143, 312, 191. So, keep reading to learn more.
Given numbers are 557,248,143,312,191
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 557,248,143,312,191 is 11318725704.
Find LCM of 557,248,143,312,191 with Prime Factorization
| 2 | 557, 248, 143, 312, 191 |
| 2 | 557, 124, 143, 156, 191 |
| 2 | 557, 62, 143, 78, 191 |
| 13 | 557, 31, 143, 39, 191 |
| 557, 31, 11, 3, 191 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 557 x 31 x 11 x 3 x 191 = 11318725704
Therefore, the lowest common multiple of 557,248,143,312,191 is 11318725704.
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 248 x 143 x 312 x 191 = 1177147473216
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
248 : 1, 2, 4, 8, 31, 62, 124, 248
143 : 1, 11, 13, 143
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
191 : 1, 191
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 557,248,143,312,191, is 1.
Now, the common factors can be found like this.
557:557
248:2x 2x 2x 31
143:11x 13
312:2x 2x 2x 3x 13
191:191
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 13 = 104
Therefore, the value for common factors is 104.
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 = 1177147473216/(1x104)
LCM = 1177147473216/104
LCM = 11318725704
Thus, we can understand that the LCM of 557,248,143,312,191 is 11318725704.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 557, 248, 143, 312, 191
1. What is the LCM of 557, 248, 143, 312, 191?
Answer: LCM of 557, 248, 143, 312, 191 is 11318725704.
2. How to calculate the LCM of 557, 248, 143, 312, 191?
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, 248, 143, 312, 191.
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}.