LCM of 757, 806, 177, 846, 864
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 757, 806, 177, 846, 864 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 757, 806, 177, 846, 864. So, keep reading to learn more.
Given numbers are 757,806,177,846,864
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 757,806,177,846,864 is 730911066912.
Find LCM of 757,806,177,846,864 with Prime Factorization
| 2 | 757, 806, 177, 846, 864 |
| 3 | 757, 403, 177, 423, 432 |
| 3 | 757, 403, 59, 141, 144 |
| 757, 403, 59, 47, 48 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 757 x 403 x 59 x 47 x 48 = 730911066912
Therefore, the lowest common multiple of 757,806,177,846,864 is 730911066912.
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.
757 x 806 x 177 x 846 x 864 = 78938395226496
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.
757 : 1, 757
806 : 1, 2, 13, 26, 31, 62, 403, 806
177 : 1, 3, 59, 177
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 757,806,177,846,864, is 1.
Now, the common factors can be found like this.
757:757
806:2x 13x 31
177:3x 59
846:2x 3x 3x 47
864:2x 2x 2x 2x 2x 3x 3x 3
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 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 78938395226496/(1x108)
LCM = 78938395226496/108
LCM = 730911066912
Thus, we can understand that the LCM of 757,806,177,846,864 is 730911066912.
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FAQs on LCM of 757, 806, 177, 846, 864
1. What is the LCM of 757, 806, 177, 846, 864?
Answer: LCM of 757, 806, 177, 846, 864 is 730911066912.
2. How to calculate the LCM of 757, 806, 177, 846, 864?
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 757, 806, 177, 846, 864.
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}.