LCM of 640, 806, 932, 555, 868
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 640, 806, 932, 555, 868 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 640, 806, 932, 555, 868. So, keep reading to learn more.
Given numbers are 640,806,932,555,868
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 640,806,932,555,868 is 46694094720.
Find LCM of 640,806,932,555,868 with Prime Factorization
| 2 | 640, 806, 932, 555, 868 |
| 2 | 320, 403, 466, 555, 434 |
| 5 | 160, 403, 233, 555, 217 |
| 31 | 32, 403, 233, 111, 217 |
| 32, 13, 233, 111, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 31 x 32 x 13 x 233 x 111 x 7 = 46694094720
Therefore, the lowest common multiple of 640,806,932,555,868 is 46694094720.
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.
640 x 806 x 932 x 555 x 868 = 231602709811200
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.
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
806 : 1, 2, 13, 26, 31, 62, 403, 806
932 : 1, 2, 4, 233, 466, 932
555 : 1, 3, 5, 15, 37, 111, 185, 555
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 640,806,932,555,868, is 1.
Now, the common factors can be found like this.
640:2x 2x 2x 2x 2x 2x 2x 5
806:2x 13x 31
932:2x 2x 233
555:3x 5x 37
868:2x 2x 7x 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 2x 2x 5x 31 = 4960
Therefore, the value for common factors is 4960.
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 = 231602709811200/(1x4960)
LCM = 231602709811200/4960
LCM = 46694094720
Thus, we can understand that the LCM of 640,806,932,555,868 is 46694094720.
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FAQs on LCM of 640, 806, 932, 555, 868
1. What is the LCM of 640, 806, 932, 555, 868?
Answer: LCM of 640, 806, 932, 555, 868 is 46694094720.
2. How to calculate the LCM of 640, 806, 932, 555, 868?
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 640, 806, 932, 555, 868.
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}.