LCM of 957, 320, 429, 936, 718
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 957, 320, 429, 936, 718 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, 320, 429, 936, 718. So, keep reading to learn more.
Given numbers are 957,320,429,936,718
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 957,320,429,936,718 is 4287666240.
Find LCM of 957,320,429,936,718 with Prime Factorization
| 2 | 957, 320, 429, 936, 718 |
| 2 | 957, 160, 429, 468, 359 |
| 2 | 957, 80, 429, 234, 359 |
| 3 | 957, 40, 429, 117, 359 |
| 11 | 319, 40, 143, 39, 359 |
| 13 | 29, 40, 13, 39, 359 |
| 29, 40, 1, 3, 359 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 13 x 29 x 40 x 1 x 3 x 359 = 4287666240
Therefore, the lowest common multiple of 957,320,429,936,718 is 4287666240.
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 320 x 429 x 936 x 718 = 88291623214080
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
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
429 : 1, 3, 11, 13, 33, 39, 143, 429
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
718 : 1, 2, 359, 718
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,320,429,936,718, is 1.
Now, the common factors can be found like this.
957:3x 11x 29
320:2x 2x 2x 2x 2x 2x 5
429:3x 11x 13
936:2x 2x 2x 3x 3x 13
718:2x 359
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 2x 3x 3x 11x 13 = 20592
Therefore, the value for common factors is 20592.
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 = 88291623214080/(1x20592)
LCM = 88291623214080/20592
LCM = 4287666240
Thus, we can understand that the LCM of 957,320,429,936,718 is 4287666240.
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FAQs on LCM of 957, 320, 429, 936, 718
1. What is the LCM of 957, 320, 429, 936, 718?
Answer: LCM of 957, 320, 429, 936, 718 is 4287666240.
2. How to calculate the LCM of 957, 320, 429, 936, 718?
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, 320, 429, 936, 718.
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}.