Find the LCM of 957, 918, 533, 753, 325 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 957, 918, 533, 753, 325. So, keep reading to learn more.
Given numbers are 957,918,533,753,325
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 957,918,533,753,325 is 979432032150.
Find LCM of 957,918,533,753,325 with Prime Factorization
3 | 957, 918, 533, 753, 325 |
13 | 319, 306, 533, 251, 325 |
319, 306, 41, 251, 25 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 319 x 306 x 41 x 251 x 25 = 979432032150
Therefore, the lowest common multiple of 957,918,533,753,325 is 979432032150.
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.
957 x 918 x 533 x 753 x 325 = 114593547761550
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.
957 : 1, 3, 11, 29, 33, 87, 319, 957
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
533 : 1, 13, 41, 533
753 : 1, 3, 251, 753
325 : 1, 5, 13, 25, 65, 325
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,918,533,753,325, is 1.
Now, the common factors can be found like this.
957:3x 11x 29
918:2x 3x 3x 3x 17
533:13x 41
753:3x 251
325:5x 5x 13
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 13 = 117
Therefore, the value for common factors is 117.
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 = 114593547761550/(1x117)
LCM = 114593547761550/117
LCM = 979432032150
Thus, we can understand that the LCM of 957,918,533,753,325 is 979432032150.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 957, 918, 533, 753, 325?
Answer: LCM of 957, 918, 533, 753, 325 is 979432032150.
2. How to calculate the LCM of 957, 918, 533, 753, 325?
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 957, 918, 533, 753, 325.
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}.