LCM of 314, 559, 275, 301, 949
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 314, 559, 275, 301, 949 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, 559, 275, 301, 949. So, keep reading to learn more.
Given numbers are 314,559,275,301,949
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 314,559,275,301,949 is 24665791150.
Find LCM of 314,559,275,301,949 with Prime Factorization
| 13 | 314, 559, 275, 301, 949 |
| 43 | 314, 43, 275, 301, 73 |
| 314, 1, 275, 7, 73 |
Multiply the prime numbers at the bottom and the left side.
13 x 43 x 314 x 1 x 275 x 7 x 73 = 24665791150
Therefore, the lowest common multiple of 314,559,275,301,949 is 24665791150.
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 559 x 275 x 301 x 949 = 13788177252850
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
559 : 1, 13, 43, 559
275 : 1, 5, 11, 25, 55, 275
301 : 1, 7, 43, 301
949 : 1, 13, 73, 949
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,559,275,301,949, is 1.
Now, the common factors can be found like this.
314:2x 157
559:13x 43
275:5x 5x 11
301:7x 43
949:13x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 43 = 559
Therefore, the value for common factors is 559.
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 = 13788177252850/(1x559)
LCM = 13788177252850/559
LCM = 24665791150
Thus, we can understand that the LCM of 314,559,275,301,949 is 24665791150.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 314, 559, 275, 301, 949
1. What is the LCM of 314, 559, 275, 301, 949?
Answer: LCM of 314, 559, 275, 301, 949 is 24665791150.
2. How to calculate the LCM of 314, 559, 275, 301, 949?
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, 559, 275, 301, 949.
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}.