LCM of 309, 515, 667, 382, 906
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 309, 515, 667, 382, 906 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, 515, 667, 382, 906. So, keep reading to learn more.
Given numbers are 309,515,667,382,906
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 309,515,667,382,906 is 59442166230.
Find LCM of 309,515,667,382,906 with Prime Factorization
| 2 | 309, 515, 667, 382, 906 |
| 3 | 309, 515, 667, 191, 453 |
| 103 | 103, 515, 667, 191, 151 |
| 1, 5, 667, 191, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 103 x 1 x 5 x 667 x 191 x 151 = 59442166230
Therefore, the lowest common multiple of 309,515,667,382,906 is 59442166230.
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 515 x 667 x 382 x 906 = 36735258730140
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
515 : 1, 5, 103, 515
667 : 1, 23, 29, 667
382 : 1, 2, 191, 382
906 : 1, 2, 3, 6, 151, 302, 453, 906
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,515,667,382,906, is 1.
Now, the common factors can be found like this.
309:3x 103
515:5x 103
667:23x 29
382:2x 191
906:2x 3x 151
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 103 = 618
Therefore, the value for common factors is 618.
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 = 36735258730140/(1x618)
LCM = 36735258730140/618
LCM = 59442166230
Thus, we can understand that the LCM of 309,515,667,382,906 is 59442166230.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 309, 515, 667, 382, 906
1. What is the LCM of 309, 515, 667, 382, 906?
Answer: LCM of 309, 515, 667, 382, 906 is 59442166230.
2. How to calculate the LCM of 309, 515, 667, 382, 906?
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, 515, 667, 382, 906.
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}.