Find the LCM of 957, 988, 691, 207, 406 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, 988, 691, 207, 406. So, keep reading to learn more.
Given numbers are 957,988,691,207,406
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 957,988,691,207,406 is 315568801548.
Find LCM of 957,988,691,207,406 with Prime Factorization
2 | 957, 988, 691, 207, 406 |
3 | 957, 494, 691, 207, 203 |
29 | 319, 494, 691, 69, 203 |
11, 494, 691, 69, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 11 x 494 x 691 x 69 x 7 = 315568801548
Therefore, the lowest common multiple of 957,988,691,207,406 is 315568801548.
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 988 x 691 x 207 x 406 = 54908971469352
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
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
691 : 1, 691
207 : 1, 3, 9, 23, 69, 207
406 : 1, 2, 7, 14, 29, 58, 203, 406
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,988,691,207,406, is 1.
Now, the common factors can be found like this.
957:3x 11x 29
988:2x 2x 13x 19
691:691
207:3x 3x 23
406:2x 7x 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 3x 29 = 174
Therefore, the value for common factors is 174.
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 = 54908971469352/(1x174)
LCM = 54908971469352/174
LCM = 315568801548
Thus, we can understand that the LCM of 957,988,691,207,406 is 315568801548.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 957, 988, 691, 207, 406?
Answer: LCM of 957, 988, 691, 207, 406 is 315568801548.
2. How to calculate the LCM of 957, 988, 691, 207, 406?
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, 988, 691, 207, 406.
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}.