LCM of 309, 514, 182, 240
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 309, 514, 182, 240 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, 514, 182, 240. So, keep reading to learn more.
Given numbers are 309,514,182,240
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 309,514,182,240 is 578126640.
Find LCM of 309,514,182,240 with Prime Factorization
| 2 | 309, 514, 182, 240 |
| 3 | 309, 257, 91, 120 |
| 103, 257, 91, 40 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 103 x 257 x 91 x 40 = 578126640
Therefore, the lowest common multiple of 309,514,182,240 is 578126640.
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 514 x 182 x 240 = 6937519680
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
514 : 1, 2, 257, 514
182 : 1, 2, 7, 13, 14, 26, 91, 182
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,514,182,240, is 1.
Now, the common factors can be found like this.
309:3x 103
514:2x 257
182:2x 7x 13
240:2x 2x 2x 2x 3x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3 = 12
Therefore, the value for common factors is 12.
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 = 6937519680/(1x12)
LCM = 6937519680/12
LCM = 578126640
Thus, we can understand that the LCM of 309,514,182,240 is 578126640.
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FAQs on LCM of 309, 514, 182, 240
1. What is the LCM of 309, 514, 182, 240?
Answer: LCM of 309, 514, 182, 240 is 578126640.
2. How to calculate the LCM of 309, 514, 182, 240?
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, 514, 182, 240.
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}.