LCM of 343, 390, 927, 878, 861
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 343, 390, 927, 878, 861 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 343, 390, 927, 878, 861. So, keep reading to learn more.
Given numbers are 343,390,927,878,861
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 343,390,927,878,861 is 743987405070.
Find LCM of 343,390,927,878,861 with Prime Factorization
| 2 | 343, 390, 927, 878, 861 |
| 3 | 343, 195, 927, 439, 861 |
| 7 | 343, 65, 309, 439, 287 |
| 49, 65, 309, 439, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 49 x 65 x 309 x 439 x 41 = 743987405070
Therefore, the lowest common multiple of 343,390,927,878,861 is 743987405070.
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.
343 x 390 x 927 x 878 x 861 = 93742413038820
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.
343 : 1, 7, 49, 343
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
927 : 1, 3, 9, 103, 309, 927
878 : 1, 2, 439, 878
861 : 1, 3, 7, 21, 41, 123, 287, 861
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,390,927,878,861, is 1.
Now, the common factors can be found like this.
343:7x 7x 7
390:2x 3x 5x 13
927:3x 3x 103
878:2x 439
861:3x 7x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 7 = 126
Therefore, the value for common factors is 126.
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 = 93742413038820/(1x126)
LCM = 93742413038820/126
LCM = 743987405070
Thus, we can understand that the LCM of 343,390,927,878,861 is 743987405070.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 343, 390, 927, 878, 861
1. What is the LCM of 343, 390, 927, 878, 861?
Answer: LCM of 343, 390, 927, 878, 861 is 743987405070.
2. How to calculate the LCM of 343, 390, 927, 878, 861?
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 343, 390, 927, 878, 861.
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}.