LCM of 718, 649, 640, 366, 531
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 718, 649, 640, 366, 531 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 718, 649, 640, 366, 531. So, keep reading to learn more.
Given numbers are 718,649,640,366,531
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 718,649,640,366,531 is 81863717760.
Find LCM of 718,649,640,366,531 with Prime Factorization
| 2 | 718, 649, 640, 366, 531 |
| 3 | 359, 649, 320, 183, 531 |
| 59 | 359, 649, 320, 61, 177 |
| 359, 11, 320, 61, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 59 x 359 x 11 x 320 x 61 x 3 = 81863717760
Therefore, the lowest common multiple of 718,649,640,366,531 is 81863717760.
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.
718 x 649 x 640 x 366 x 531 = 57959512174080
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.
718 : 1, 2, 359, 718
649 : 1, 11, 59, 649
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
366 : 1, 2, 3, 6, 61, 122, 183, 366
531 : 1, 3, 9, 59, 177, 531
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 718,649,640,366,531, is 1.
Now, the common factors can be found like this.
718:2x 359
649:11x 59
640:2x 2x 2x 2x 2x 2x 2x 5
366:2x 3x 61
531:3x 3x 59
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 59 = 708
Therefore, the value for common factors is 708.
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 = 57959512174080/(1x708)
LCM = 57959512174080/708
LCM = 81863717760
Thus, we can understand that the LCM of 718,649,640,366,531 is 81863717760.
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FAQs on LCM of 718, 649, 640, 366, 531
1. What is the LCM of 718, 649, 640, 366, 531?
Answer: LCM of 718, 649, 640, 366, 531 is 81863717760.
2. How to calculate the LCM of 718, 649, 640, 366, 531?
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 718, 649, 640, 366, 531.
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}.