LCM of 309, 147, 774, 258, 933
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 309, 147, 774, 258, 933 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 309, 147, 774, 258, 933. So, keep reading to learn more.
Given numbers are 309,147,774,258,933
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 309,147,774,258,933 is 1214883558.
Find LCM of 309,147,774,258,933 with Prime Factorization
| 2 | 309, 147, 774, 258, 933 |
| 3 | 309, 147, 387, 129, 933 |
| 43 | 103, 49, 43, 129, 311 |
| 103, 49, 1, 3, 311 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 43 x 103 x 49 x 1 x 3 x 311 = 1214883558
Therefore, the lowest common multiple of 309,147,774,258,933 is 1214883558.
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.
309 x 147 x 774 x 258 x 933 = 8462878865028
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.
309 : 1, 3, 103, 309
147 : 1, 3, 7, 21, 49, 147
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
258 : 1, 2, 3, 6, 43, 86, 129, 258
933 : 1, 3, 311, 933
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,147,774,258,933, is 3.
Now, the common factors can be found like this.
309:3x 103
147:3x 7x 7
774:2x 3x 3x 43
258:2x 3x 43
933:3x 311
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 3x 43 = 2322
Therefore, the value for common factors is 2322.
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 = 8462878865028/(3x2322)
LCM = 8462878865028/6966
LCM = 1214883558
Thus, we can understand that the LCM of 309,147,774,258,933 is 1214883558.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 309, 147, 774, 258, 933
1. What is the LCM of 309, 147, 774, 258, 933?
Answer: LCM of 309, 147, 774, 258, 933 is 1214883558.
2. How to calculate the LCM of 309, 147, 774, 258, 933?
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 309, 147, 774, 258, 933.
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}.