LCM of 314, 105, 286, 616
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 314, 105, 286, 616 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 314, 105, 286, 616. So, keep reading to learn more.
Given numbers are 314,105,286,616
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 314,105,286,616 is 18858840.
Find LCM of 314,105,286,616 with Prime Factorization
| 2 | 314, 105, 286, 616 |
| 7 | 157, 105, 143, 308 |
| 11 | 157, 15, 143, 44 |
| 157, 15, 13, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 157 x 15 x 13 x 4 = 18858840
Therefore, the lowest common multiple of 314,105,286,616 is 18858840.
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.
314 x 105 x 286 x 616 = 5808522720
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.
314 : 1, 2, 157, 314
105 : 1, 3, 5, 7, 15, 21, 35, 105
286 : 1, 2, 11, 13, 22, 26, 143, 286
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,105,286,616, is 1.
Now, the common factors can be found like this.
314:2x 157
105:3x 5x 7
286:2x 11x 13
616:2x 2x 2x 7x 11
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 7x 11 = 308
Therefore, the value for common factors is 308.
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 = 5808522720/(1x308)
LCM = 5808522720/308
LCM = 18858840
Thus, we can understand that the LCM of 314,105,286,616 is 18858840.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 314, 105, 286, 616
1. What is the LCM of 314, 105, 286, 616?
Answer: LCM of 314, 105, 286, 616 is 18858840.
2. How to calculate the LCM of 314, 105, 286, 616?
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 314, 105, 286, 616.
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}.