LCM of 869, 658, 280, 718
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 869, 658, 280, 718 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 869, 658, 280, 718. So, keep reading to learn more.
Given numbers are 869,658,280,718
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 869,658,280,718 is 4105538360.
Find LCM of 869,658,280,718 with Prime Factorization
| 2 | 869, 658, 280, 718 |
| 7 | 869, 329, 140, 359 |
| 869, 47, 20, 359 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 869 x 47 x 20 x 359 = 4105538360
Therefore, the lowest common multiple of 869,658,280,718 is 4105538360.
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.
869 x 658 x 280 x 718 = 114955074080
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.
869 : 1, 11, 79, 869
658 : 1, 2, 7, 14, 47, 94, 329, 658
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
718 : 1, 2, 359, 718
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 869,658,280,718, is 1.
Now, the common factors can be found like this.
869:11x 79
658:2x 7x 47
280:2x 2x 2x 5x 7
718:2x 359
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 7 = 28
Therefore, the value for common factors is 28.
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 = 114955074080/(1x28)
LCM = 114955074080/28
LCM = 4105538360
Thus, we can understand that the LCM of 869,658,280,718 is 4105538360.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 869, 658, 280, 718
1. What is the LCM of 869, 658, 280, 718?
Answer: LCM of 869, 658, 280, 718 is 4105538360.
2. How to calculate the LCM of 869, 658, 280, 718?
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 869, 658, 280, 718.
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}.