LCM of 957, 399, 772, 352, 665
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 957, 399, 772, 352, 665 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, 399, 772, 352, 665. So, keep reading to learn more.
Given numbers are 957,399,772,352,665
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 957,399,772,352,665 is 3930437280.
Find LCM of 957,399,772,352,665 with Prime Factorization
| 2 | 957, 399, 772, 352, 665 |
| 2 | 957, 399, 386, 176, 665 |
| 3 | 957, 399, 193, 88, 665 |
| 7 | 319, 133, 193, 88, 665 |
| 11 | 319, 19, 193, 88, 95 |
| 19 | 29, 19, 193, 8, 95 |
| 29, 1, 193, 8, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 11 x 19 x 29 x 1 x 193 x 8 x 5 = 3930437280
Therefore, the lowest common multiple of 957,399,772,352,665 is 3930437280.
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 399 x 772 x 352 x 665 = 69002756887680
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
399 : 1, 3, 7, 19, 21, 57, 133, 399
772 : 1, 2, 4, 193, 386, 772
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
665 : 1, 5, 7, 19, 35, 95, 133, 665
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,399,772,352,665, is 1.
Now, the common factors can be found like this.
957:3x 11x 29
399:3x 7x 19
772:2x 2x 193
352:2x 2x 2x 2x 2x 11
665:5x 7x 19
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 7x 11x 19 = 17556
Therefore, the value for common factors is 17556.
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 = 69002756887680/(1x17556)
LCM = 69002756887680/17556
LCM = 3930437280
Thus, we can understand that the LCM of 957,399,772,352,665 is 3930437280.
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FAQs on LCM of 957, 399, 772, 352, 665
1. What is the LCM of 957, 399, 772, 352, 665?
Answer: LCM of 957, 399, 772, 352, 665 is 3930437280.
2. How to calculate the LCM of 957, 399, 772, 352, 665?
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, 399, 772, 352, 665.
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}.