LCM of 339, 713, 303, 295, 708
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 339, 713, 303, 295, 708 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 339, 713, 303, 295, 708. So, keep reading to learn more.
Given numbers are 339,713,303,295,708
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 339,713,303,295,708 is 28806640260.
Find LCM of 339,713,303,295,708 with Prime Factorization
| 3 | 339, 713, 303, 295, 708 |
| 59 | 113, 713, 101, 295, 236 |
| 113, 713, 101, 5, 4 |
Multiply the prime numbers at the bottom and the left side.
3 x 59 x 113 x 713 x 101 x 5 x 4 = 28806640260
Therefore, the lowest common multiple of 339,713,303,295,708 is 28806640260.
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.
339 x 713 x 303 x 295 x 708 = 15296325978060
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.
339 : 1, 3, 113, 339
713 : 1, 23, 31, 713
303 : 1, 3, 101, 303
295 : 1, 5, 59, 295
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 339,713,303,295,708, is 1.
Now, the common factors can be found like this.
339:3x 113
713:23x 31
303:3x 101
295:5x 59
708:2x 2x 3x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 59 = 531
Therefore, the value for common factors is 531.
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 = 15296325978060/(1x531)
LCM = 15296325978060/531
LCM = 28806640260
Thus, we can understand that the LCM of 339,713,303,295,708 is 28806640260.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 339, 713, 303, 295, 708
1. What is the LCM of 339, 713, 303, 295, 708?
Answer: LCM of 339, 713, 303, 295, 708 is 28806640260.
2. How to calculate the LCM of 339, 713, 303, 295, 708?
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 339, 713, 303, 295, 708.
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}.