Find the LCM of 325, 319, 232, 982, 490 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 325, 319, 232, 982, 490. So, keep reading to learn more.
Given numbers are 325,319,232,982,490
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 325,319,232,982,490 is 19954534600.
Find LCM of 325,319,232,982,490 with Prime Factorization
2 | 325, 319, 232, 982, 490 |
5 | 325, 319, 116, 491, 245 |
29 | 65, 319, 116, 491, 49 |
65, 11, 4, 491, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 29 x 65 x 11 x 4 x 491 x 49 = 19954534600
Therefore, the lowest common multiple of 325,319,232,982,490 is 19954534600.
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.
325 x 319 x 232 x 982 x 490 = 11573630068000
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.
325 : 1, 5, 13, 25, 65, 325
319 : 1, 11, 29, 319
232 : 1, 2, 4, 8, 29, 58, 116, 232
982 : 1, 2, 491, 982
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 325,319,232,982,490, is 1.
Now, the common factors can be found like this.
325:5x 5x 13
319:11x 29
232:2x 2x 2x 29
982:2x 491
490:2x 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.
2x 2x 5x 29 = 580
Therefore, the value for common factors is 580.
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 = 11573630068000/(1x580)
LCM = 11573630068000/580
LCM = 19954534600
Thus, we can understand that the LCM of 325,319,232,982,490 is 19954534600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 325, 319, 232, 982, 490?
Answer: LCM of 325, 319, 232, 982, 490 is 19954534600.
2. How to calculate the LCM of 325, 319, 232, 982, 490?
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 325, 319, 232, 982, 490.
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}.