LCM of 775, 138, 410, 948, 687
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 775, 138, 410, 948, 687 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 775, 138, 410, 948, 687. So, keep reading to learn more.
Given numbers are 775,138,410,948,687
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 775,138,410,948,687 is 158656260900.
Find LCM of 775,138,410,948,687 with Prime Factorization
| 2 | 775, 138, 410, 948, 687 |
| 3 | 775, 69, 205, 474, 687 |
| 5 | 775, 23, 205, 158, 229 |
| 155, 23, 41, 158, 229 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 155 x 23 x 41 x 158 x 229 = 158656260900
Therefore, the lowest common multiple of 775,138,410,948,687 is 158656260900.
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.
775 x 138 x 410 x 948 x 687 = 28558126962000
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.
775 : 1, 5, 25, 31, 155, 775
138 : 1, 2, 3, 6, 23, 46, 69, 138
410 : 1, 2, 5, 10, 41, 82, 205, 410
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
687 : 1, 3, 229, 687
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 775,138,410,948,687, is 1.
Now, the common factors can be found like this.
775:5x 5x 31
138:2x 3x 23
410:2x 5x 41
948:2x 2x 3x 79
687:3x 229
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 3x 5 = 180
Therefore, the value for common factors is 180.
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 = 28558126962000/(1x180)
LCM = 28558126962000/180
LCM = 158656260900
Thus, we can understand that the LCM of 775,138,410,948,687 is 158656260900.
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FAQs on LCM of 775, 138, 410, 948, 687
1. What is the LCM of 775, 138, 410, 948, 687?
Answer: LCM of 775, 138, 410, 948, 687 is 158656260900.
2. How to calculate the LCM of 775, 138, 410, 948, 687?
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 775, 138, 410, 948, 687.
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}.