LCM of 311, 748, 391, 586
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 311, 748, 391, 586 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 311, 748, 391, 586. So, keep reading to learn more.
Given numbers are 311,748,391,586
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 311,748,391,586 is 1567680092.
Find LCM of 311,748,391,586 with Prime Factorization
| 2 | 311, 748, 391, 586 |
| 17 | 311, 374, 391, 293 |
| 311, 22, 23, 293 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 311 x 22 x 23 x 293 = 1567680092
Therefore, the lowest common multiple of 311,748,391,586 is 1567680092.
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.
311 x 748 x 391 x 586 = 53301123128
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.
311 : 1, 311
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
391 : 1, 17, 23, 391
586 : 1, 2, 293, 586
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,748,391,586, is 1.
Now, the common factors can be found like this.
311:311
748:2x 2x 11x 17
391:17x 23
586:2x 293
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 17 = 34
Therefore, the value for common factors is 34.
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 = 53301123128/(1x34)
LCM = 53301123128/34
LCM = 1567680092
Thus, we can understand that the LCM of 311,748,391,586 is 1567680092.
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FAQs on LCM of 311, 748, 391, 586
1. What is the LCM of 311, 748, 391, 586?
Answer: LCM of 311, 748, 391, 586 is 1567680092.
2. How to calculate the LCM of 311, 748, 391, 586?
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 311, 748, 391, 586.
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}.