LCM of 731, 979, 123, 786, 215
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 731, 979, 123, 786, 215 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 731, 979, 123, 786, 215. So, keep reading to learn more.
Given numbers are 731,979,123,786,215
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 731,979,123,786,215 is 115312523370.
Find LCM of 731,979,123,786,215 with Prime Factorization
| 3 | 731, 979, 123, 786, 215 |
| 43 | 731, 979, 41, 262, 215 |
| 17, 979, 41, 262, 5 |
Multiply the prime numbers at the bottom and the left side.
3 x 43 x 17 x 979 x 41 x 262 x 5 = 115312523370
Therefore, the lowest common multiple of 731,979,123,786,215 is 115312523370.
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.
731 x 979 x 123 x 786 x 215 = 14875315514730
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.
731 : 1, 17, 43, 731
979 : 1, 11, 89, 979
123 : 1, 3, 41, 123
786 : 1, 2, 3, 6, 131, 262, 393, 786
215 : 1, 5, 43, 215
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 731,979,123,786,215, is 1.
Now, the common factors can be found like this.
731:17x 43
979:11x 89
123:3x 41
786:2x 3x 131
215:5x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 43 = 129
Therefore, the value for common factors is 129.
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 = 14875315514730/(1x129)
LCM = 14875315514730/129
LCM = 115312523370
Thus, we can understand that the LCM of 731,979,123,786,215 is 115312523370.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 731, 979, 123, 786, 215
1. What is the LCM of 731, 979, 123, 786, 215?
Answer: LCM of 731, 979, 123, 786, 215 is 115312523370.
2. How to calculate the LCM of 731, 979, 123, 786, 215?
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 731, 979, 123, 786, 215.
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}.