LCM of 667, 465, 870, 378, 831
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 667, 465, 870, 378, 831 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 667, 465, 870, 378, 831. So, keep reading to learn more.
Given numbers are 667,465,870,378,831
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 667,465,870,378,831 is 10825029810.
Find LCM of 667,465,870,378,831 with Prime Factorization
| 2 | 667, 465, 870, 378, 831 |
| 3 | 667, 465, 435, 189, 831 |
| 5 | 667, 155, 145, 63, 277 |
| 29 | 667, 31, 29, 63, 277 |
| 23, 31, 1, 63, 277 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 29 x 23 x 31 x 1 x 63 x 277 = 10825029810
Therefore, the lowest common multiple of 667,465,870,378,831 is 10825029810.
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.
667 x 465 x 870 x 378 x 831 = 84759983412300
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.
667 : 1, 23, 29, 667
465 : 1, 3, 5, 15, 31, 93, 155, 465
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
831 : 1, 3, 277, 831
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,465,870,378,831, is 1.
Now, the common factors can be found like this.
667:23x 29
465:3x 5x 31
870:2x 3x 5x 29
378:2x 3x 3x 3x 7
831:3x 277
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5x 29 = 7830
Therefore, the value for common factors is 7830.
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 = 84759983412300/(1x7830)
LCM = 84759983412300/7830
LCM = 10825029810
Thus, we can understand that the LCM of 667,465,870,378,831 is 10825029810.
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FAQs on LCM of 667, 465, 870, 378, 831
1. What is the LCM of 667, 465, 870, 378, 831?
Answer: LCM of 667, 465, 870, 378, 831 is 10825029810.
2. How to calculate the LCM of 667, 465, 870, 378, 831?
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 667, 465, 870, 378, 831.
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}.