LCM of 651, 375, 916, 480, 806
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 651, 375, 916, 480, 806 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 651, 375, 916, 480, 806. So, keep reading to learn more.
Given numbers are 651,375,916,480,806
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 651,375,916,480,806 is 7752108000.
Find LCM of 651,375,916,480,806 with Prime Factorization
| 2 | 651, 375, 916, 480, 806 |
| 2 | 651, 375, 458, 240, 403 |
| 3 | 651, 375, 229, 120, 403 |
| 5 | 217, 125, 229, 40, 403 |
| 31 | 217, 25, 229, 8, 403 |
| 7, 25, 229, 8, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 31 x 7 x 25 x 229 x 8 x 13 = 7752108000
Therefore, the lowest common multiple of 651,375,916,480,806 is 7752108000.
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.
651 x 375 x 916 x 480 x 806 = 86513525280000
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.
651 : 1, 3, 7, 21, 31, 93, 217, 651
375 : 1, 3, 5, 15, 25, 75, 125, 375
916 : 1, 2, 4, 229, 458, 916
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
806 : 1, 2, 13, 26, 31, 62, 403, 806
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 651,375,916,480,806, is 1.
Now, the common factors can be found like this.
651:3x 7x 31
375:3x 5x 5x 5
916:2x 2x 229
480:2x 2x 2x 2x 2x 3x 5
806:2x 13x 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 5x 31 = 11160
Therefore, the value for common factors is 11160.
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 = 86513525280000/(1x11160)
LCM = 86513525280000/11160
LCM = 7752108000
Thus, we can understand that the LCM of 651,375,916,480,806 is 7752108000.
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FAQs on LCM of 651, 375, 916, 480, 806
1. What is the LCM of 651, 375, 916, 480, 806?
Answer: LCM of 651, 375, 916, 480, 806 is 7752108000.
2. How to calculate the LCM of 651, 375, 916, 480, 806?
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 651, 375, 916, 480, 806.
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}.