LCM of 760, 196, 687, 405, 874
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 760, 196, 687, 405, 874 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 760, 196, 687, 405, 874. So, keep reading to learn more.
Given numbers are 760,196,687,405,874
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 760,196,687,405,874 is 15887589480.
Find LCM of 760,196,687,405,874 with Prime Factorization
| 2 | 760, 196, 687, 405, 874 |
| 2 | 380, 98, 687, 405, 437 |
| 3 | 190, 49, 687, 405, 437 |
| 5 | 190, 49, 229, 135, 437 |
| 19 | 38, 49, 229, 27, 437 |
| 2, 49, 229, 27, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 19 x 2 x 49 x 229 x 27 x 23 = 15887589480
Therefore, the lowest common multiple of 760,196,687,405,874 is 15887589480.
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.
760 x 196 x 687 x 405 x 874 = 36223704014400
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.
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
687 : 1, 3, 229, 687
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
874 : 1, 2, 19, 23, 38, 46, 437, 874
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,196,687,405,874, is 1.
Now, the common factors can be found like this.
760:2x 2x 2x 5x 19
196:2x 2x 7x 7
687:3x 229
405:3x 3x 3x 3x 5
874:2x 19x 23
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 3x 5x 19 = 2280
Therefore, the value for common factors is 2280.
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 = 36223704014400/(1x2280)
LCM = 36223704014400/2280
LCM = 15887589480
Thus, we can understand that the LCM of 760,196,687,405,874 is 15887589480.
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FAQs on LCM of 760, 196, 687, 405, 874
1. What is the LCM of 760, 196, 687, 405, 874?
Answer: LCM of 760, 196, 687, 405, 874 is 15887589480.
2. How to calculate the LCM of 760, 196, 687, 405, 874?
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 760, 196, 687, 405, 874.
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}.