LCM of 314, 245, 275, 686, 799
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 314, 245, 275, 686, 799 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, 245, 275, 686, 799. So, keep reading to learn more.
Given numbers are 314,245,275,686,799
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 314,245,275,686,799 is 23664821950.
Find LCM of 314,245,275,686,799 with Prime Factorization
| 2 | 314, 245, 275, 686, 799 |
| 5 | 157, 245, 275, 343, 799 |
| 7 | 157, 49, 55, 343, 799 |
| 7 | 157, 7, 55, 49, 799 |
| 157, 1, 55, 7, 799 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 7 x 157 x 1 x 55 x 7 x 799 = 23664821950
Therefore, the lowest common multiple of 314,245,275,686,799 is 23664821950.
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 245 x 275 x 686 x 799 = 11595762755500
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
245 : 1, 5, 7, 35, 49, 245
275 : 1, 5, 11, 25, 55, 275
686 : 1, 2, 7, 14, 49, 98, 343, 686
799 : 1, 17, 47, 799
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,245,275,686,799, is 1.
Now, the common factors can be found like this.
314:2x 157
245:5x 7x 7
275:5x 5x 11
686:2x 7x 7x 7
799:17x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 7x 7 = 490
Therefore, the value for common factors is 490.
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 = 11595762755500/(1x490)
LCM = 11595762755500/490
LCM = 23664821950
Thus, we can understand that the LCM of 314,245,275,686,799 is 23664821950.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 314, 245, 275, 686, 799
1. What is the LCM of 314, 245, 275, 686, 799?
Answer: LCM of 314, 245, 275, 686, 799 is 23664821950.
2. How to calculate the LCM of 314, 245, 275, 686, 799?
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, 245, 275, 686, 799.
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}.