Find the LCM of 325, 286, 145, 684, 261 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, 286, 145, 684, 261. So, keep reading to learn more.
Given numbers are 325,286,145,684,261
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 325,286,145,684,261 is 70913700.
Find LCM of 325,286,145,684,261 with Prime Factorization
2 | 325, 286, 145, 684, 261 |
3 | 325, 143, 145, 342, 261 |
3 | 325, 143, 145, 114, 87 |
5 | 325, 143, 145, 38, 29 |
13 | 65, 143, 29, 38, 29 |
29 | 5, 11, 29, 38, 29 |
5, 11, 1, 38, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 13 x 29 x 5 x 11 x 1 x 38 x 1 = 70913700
Therefore, the lowest common multiple of 325,286,145,684,261 is 70913700.
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 286 x 145 x 684 x 261 = 2406101841000
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
286 : 1, 2, 11, 13, 22, 26, 143, 286
145 : 1, 5, 29, 145
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
261 : 1, 3, 9, 29, 87, 261
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 325,286,145,684,261, is 1.
Now, the common factors can be found like this.
325:5x 5x 13
286:2x 11x 13
145:5x 29
684:2x 2x 3x 3x 19
261:3x 3x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 13x 29 = 33930
Therefore, the value for common factors is 33930.
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 = 2406101841000/(1x33930)
LCM = 2406101841000/33930
LCM = 70913700
Thus, we can understand that the LCM of 325,286,145,684,261 is 70913700.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 325, 286, 145, 684, 261?
Answer: LCM of 325, 286, 145, 684, 261 is 70913700.
2. How to calculate the LCM of 325, 286, 145, 684, 261?
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, 286, 145, 684, 261.
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}.