LCM of 760, 775, 285, 916, 871
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 760, 775, 285, 916, 871 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, 775, 285, 916, 871. So, keep reading to learn more.
Given numbers are 760,775,285,916,871
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 760,775,285,916,871 is 70488810600.
Find LCM of 760,775,285,916,871 with Prime Factorization
| 2 | 760, 775, 285, 916, 871 |
| 2 | 380, 775, 285, 458, 871 |
| 5 | 190, 775, 285, 229, 871 |
| 19 | 38, 155, 57, 229, 871 |
| 2, 155, 3, 229, 871 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 19 x 2 x 155 x 3 x 229 x 871 = 70488810600
Therefore, the lowest common multiple of 760,775,285,916,871 is 70488810600.
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 775 x 285 x 916 x 871 = 133928740140000
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
775 : 1, 5, 25, 31, 155, 775
285 : 1, 3, 5, 15, 19, 57, 95, 285
916 : 1, 2, 4, 229, 458, 916
871 : 1, 13, 67, 871
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,775,285,916,871, is 1.
Now, the common factors can be found like this.
760:2x 2x 2x 5x 19
775:5x 5x 31
285:3x 5x 19
916:2x 2x 229
871:13x 67
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 5x 5x 19 = 1900
Therefore, the value for common factors is 1900.
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 = 133928740140000/(1x1900)
LCM = 133928740140000/1900
LCM = 70488810600
Thus, we can understand that the LCM of 760,775,285,916,871 is 70488810600.
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FAQs on LCM of 760, 775, 285, 916, 871
1. What is the LCM of 760, 775, 285, 916, 871?
Answer: LCM of 760, 775, 285, 916, 871 is 70488810600.
2. How to calculate the LCM of 760, 775, 285, 916, 871?
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, 775, 285, 916, 871.
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}.