Find the LCM of 319, 628, 737, 245 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 319, 628, 737, 245. So, keep reading to learn more.
Given numbers are 319,628,737,245
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,628,737,245 is 3288449780.
Find LCM of 319,628,737,245 with Prime Factorization
11 | 319, 628, 737, 245 |
29, 628, 67, 245 |
Multiply the prime numbers at the bottom and the left side.
11 x 29 x 628 x 67 x 245 = 3288449780
Therefore, the lowest common multiple of 319,628,737,245 is 3288449780.
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.
319 x 628 x 737 x 245 = 36172947580
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.
319 : 1, 11, 29, 319
628 : 1, 2, 4, 157, 314, 628
737 : 1, 11, 67, 737
245 : 1, 5, 7, 35, 49, 245
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,628,737,245, is 1.
Now, the common factors can be found like this.
319:11x 29
628:2x 2x 157
737:11x 67
245:5x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 36172947580/(1x11)
LCM = 36172947580/11
LCM = 3288449780
Thus, we can understand that the LCM of 319,628,737,245 is 3288449780.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 319, 628, 737, 245?
Answer: LCM of 319, 628, 737, 245 is 3288449780.
2. How to calculate the LCM of 319, 628, 737, 245?
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 319, 628, 737, 245.
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}.