LCM of 935, 731, 189, 321
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 935, 731, 189, 321 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 935, 731, 189, 321. So, keep reading to learn more.
Given numbers are 935,731,189,321
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 935,731,189,321 is 813065715.
Find LCM of 935,731,189,321 with Prime Factorization
| 3 | 935, 731, 189, 321 |
| 17 | 935, 731, 63, 107 |
| 55, 43, 63, 107 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 55 x 43 x 63 x 107 = 813065715
Therefore, the lowest common multiple of 935,731,189,321 is 813065715.
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.
935 x 731 x 189 x 321 = 41466351465
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.
935 : 1, 5, 11, 17, 55, 85, 187, 935
731 : 1, 17, 43, 731
189 : 1, 3, 7, 9, 21, 27, 63, 189
321 : 1, 3, 107, 321
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 935,731,189,321, is 1.
Now, the common factors can be found like this.
935:5x 11x 17
731:17x 43
189:3x 3x 3x 7
321:3x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 17 = 51
Therefore, the value for common factors is 51.
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 = 41466351465/(1x51)
LCM = 41466351465/51
LCM = 813065715
Thus, we can understand that the LCM of 935,731,189,321 is 813065715.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 935, 731, 189, 321
1. What is the LCM of 935, 731, 189, 321?
Answer: LCM of 935, 731, 189, 321 is 813065715.
2. How to calculate the LCM of 935, 731, 189, 321?
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 935, 731, 189, 321.
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}.