LCM of 957, 975, 732, 923, 622
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 957, 975, 732, 923, 622 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, 975, 732, 923, 622. So, keep reading to learn more.
Given numbers are 957,975,732,923,622
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 957,975,732,923,622 is 1675729298100.
Find LCM of 957,975,732,923,622 with Prime Factorization
| 2 | 957, 975, 732, 923, 622 |
| 3 | 957, 975, 366, 923, 311 |
| 13 | 319, 325, 122, 923, 311 |
| 319, 25, 122, 71, 311 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 319 x 25 x 122 x 71 x 311 = 1675729298100
Therefore, the lowest common multiple of 957,975,732,923,622 is 1675729298100.
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 975 x 732 x 923 x 622 = 392120655755400
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
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
923 : 1, 13, 71, 923
622 : 1, 2, 311, 622
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,975,732,923,622, is 1.
Now, the common factors can be found like this.
957:3x 11x 29
975:3x 5x 5x 13
732:2x 2x 3x 61
923:13x 71
622:2x 311
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 13 = 234
Therefore, the value for common factors is 234.
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 = 392120655755400/(1x234)
LCM = 392120655755400/234
LCM = 1675729298100
Thus, we can understand that the LCM of 957,975,732,923,622 is 1675729298100.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 957, 975, 732, 923, 622
1. What is the LCM of 957, 975, 732, 923, 622?
Answer: LCM of 957, 975, 732, 923, 622 is 1675729298100.
2. How to calculate the LCM of 957, 975, 732, 923, 622?
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, 975, 732, 923, 622.
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}.