LCM of 257, 177, 484, 550, 887
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 257, 177, 484, 550, 887 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 257, 177, 484, 550, 887. So, keep reading to learn more.
Given numbers are 257,177,484,550,887
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 257,177,484,550,887 is 488219790300.
Find LCM of 257,177,484,550,887 with Prime Factorization
| 2 | 257, 177, 484, 550, 887 |
| 11 | 257, 177, 242, 275, 887 |
| 257, 177, 22, 25, 887 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 257 x 177 x 22 x 25 x 887 = 488219790300
Therefore, the lowest common multiple of 257,177,484,550,887 is 488219790300.
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.
257 x 177 x 484 x 550 x 887 = 10740835386600
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.
257 : 1, 257
177 : 1, 3, 59, 177
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
887 : 1, 887
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,177,484,550,887, is 1.
Now, the common factors can be found like this.
257:257
177:3x 59
484:2x 2x 11x 11
550:2x 5x 5x 11
887:887
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11 = 22
Therefore, the value for common factors is 22.
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 = 10740835386600/(1x22)
LCM = 10740835386600/22
LCM = 488219790300
Thus, we can understand that the LCM of 257,177,484,550,887 is 488219790300.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 257, 177, 484, 550, 887
1. What is the LCM of 257, 177, 484, 550, 887?
Answer: LCM of 257, 177, 484, 550, 887 is 488219790300.
2. How to calculate the LCM of 257, 177, 484, 550, 887?
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 257, 177, 484, 550, 887.
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}.