LCM of 957, 488, 308, 561
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 957, 488, 308, 561 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, 488, 308, 561. So, keep reading to learn more.
Given numbers are 957,488,308,561
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 957,488,308,561 is 55574904.
Find LCM of 957,488,308,561 with Prime Factorization
| 2 | 957, 488, 308, 561 |
| 2 | 957, 244, 154, 561 |
| 3 | 957, 122, 77, 561 |
| 11 | 319, 122, 77, 187 |
| 29, 122, 7, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 29 x 122 x 7 x 17 = 55574904
Therefore, the lowest common multiple of 957,488,308,561 is 55574904.
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 488 x 308 x 561 = 80694760608
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
488 : 1, 2, 4, 8, 61, 122, 244, 488
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
561 : 1, 3, 11, 17, 33, 51, 187, 561
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,488,308,561, is 1.
Now, the common factors can be found like this.
957:3x 11x 29
488:2x 2x 2x 61
308:2x 2x 7x 11
561:3x 11x 17
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 3x 11x 11 = 1452
Therefore, the value for common factors is 1452.
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 = 80694760608/(1x1452)
LCM = 80694760608/1452
LCM = 55574904
Thus, we can understand that the LCM of 957,488,308,561 is 55574904.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 957, 488, 308, 561
1. What is the LCM of 957, 488, 308, 561?
Answer: LCM of 957, 488, 308, 561 is 55574904.
2. How to calculate the LCM of 957, 488, 308, 561?
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, 488, 308, 561.
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}.