LCM of 957, 468, 295, 538, 464
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 957, 468, 295, 538, 464 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, 468, 295, 538, 464. So, keep reading to learn more.
Given numbers are 957,468,295,538,464
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 957,468,295,538,464 is 47388266640.
Find LCM of 957,468,295,538,464 with Prime Factorization
| 2 | 957, 468, 295, 538, 464 |
| 2 | 957, 234, 295, 269, 232 |
| 3 | 957, 117, 295, 269, 116 |
| 29 | 319, 39, 295, 269, 116 |
| 11, 39, 295, 269, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 29 x 11 x 39 x 295 x 269 x 4 = 47388266640
Therefore, the lowest common multiple of 957,468,295,538,464 is 47388266640.
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 468 x 295 x 538 x 464 = 32982233581440
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
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
295 : 1, 5, 59, 295
538 : 1, 2, 269, 538
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,468,295,538,464, is 1.
Now, the common factors can be found like this.
957:3x 11x 29
468:2x 2x 3x 3x 13
295:5x 59
538:2x 269
464:2x 2x 2x 2x 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 2x 2x 3x 29 = 696
Therefore, the value for common factors is 696.
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 = 32982233581440/(1x696)
LCM = 32982233581440/696
LCM = 47388266640
Thus, we can understand that the LCM of 957,468,295,538,464 is 47388266640.
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FAQs on LCM of 957, 468, 295, 538, 464
1. What is the LCM of 957, 468, 295, 538, 464?
Answer: LCM of 957, 468, 295, 538, 464 is 47388266640.
2. How to calculate the LCM of 957, 468, 295, 538, 464?
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, 468, 295, 538, 464.
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}.