LCM of 312, 814, 559, 600, 337
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 312, 814, 559, 600, 337 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 312, 814, 559, 600, 337. So, keep reading to learn more.
Given numbers are 312,814,559,600,337
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 312,814,559,600,337 is 46003128600.
Find LCM of 312,814,559,600,337 with Prime Factorization
| 2 | 312, 814, 559, 600, 337 |
| 2 | 156, 407, 559, 300, 337 |
| 2 | 78, 407, 559, 150, 337 |
| 3 | 39, 407, 559, 75, 337 |
| 13 | 13, 407, 559, 25, 337 |
| 1, 407, 43, 25, 337 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 1 x 407 x 43 x 25 x 337 = 46003128600
Therefore, the lowest common multiple of 312,814,559,600,337 is 46003128600.
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.
312 x 814 x 559 x 600 x 337 = 28705952246400
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.
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
814 : 1, 2, 11, 22, 37, 74, 407, 814
559 : 1, 13, 43, 559
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
337 : 1, 337
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,814,559,600,337, is 1.
Now, the common factors can be found like this.
312:2x 2x 2x 3x 13
814:2x 11x 37
559:13x 43
600:2x 2x 2x 3x 5x 5
337:337
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 2x 2x 3x 13 = 624
Therefore, the value for common factors is 624.
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 = 28705952246400/(1x624)
LCM = 28705952246400/624
LCM = 46003128600
Thus, we can understand that the LCM of 312,814,559,600,337 is 46003128600.
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FAQs on LCM of 312, 814, 559, 600, 337
1. What is the LCM of 312, 814, 559, 600, 337?
Answer: LCM of 312, 814, 559, 600, 337 is 46003128600.
2. How to calculate the LCM of 312, 814, 559, 600, 337?
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 312, 814, 559, 600, 337.
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}.