LCM of 751, 960, 317, 108, 930
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 751, 960, 317, 108, 930 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 751, 960, 317, 108, 930. So, keep reading to learn more.
Given numbers are 751,960,317,108,930
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 751,960,317,108,930 is 63763865280.
Find LCM of 751,960,317,108,930 with Prime Factorization
| 2 | 751, 960, 317, 108, 930 |
| 2 | 751, 480, 317, 54, 465 |
| 3 | 751, 240, 317, 27, 465 |
| 5 | 751, 80, 317, 9, 155 |
| 751, 16, 317, 9, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 751 x 16 x 317 x 9 x 31 = 63763865280
Therefore, the lowest common multiple of 751,960,317,108,930 is 63763865280.
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.
751 x 960 x 317 x 108 x 930 = 22954991500800
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.
751 : 1, 751
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
317 : 1, 317
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 751,960,317,108,930, is 1.
Now, the common factors can be found like this.
751:751
960:2x 2x 2x 2x 2x 2x 3x 5
317:317
108:2x 2x 3x 3x 3
930:2x 3x 5x 31
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 3x 5 = 360
Therefore, the value for common factors is 360.
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 = 22954991500800/(1x360)
LCM = 22954991500800/360
LCM = 63763865280
Thus, we can understand that the LCM of 751,960,317,108,930 is 63763865280.
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FAQs on LCM of 751, 960, 317, 108, 930
1. What is the LCM of 751, 960, 317, 108, 930?
Answer: LCM of 751, 960, 317, 108, 930 is 63763865280.
2. How to calculate the LCM of 751, 960, 317, 108, 930?
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 751, 960, 317, 108, 930.
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}.