Find the LCM of 957, 726, 671, 231, 269 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, 726, 671, 231, 269. So, keep reading to learn more.
Given numbers are 957,726,671,231,269
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 957,726,671,231,269 is 2418325602.
Find LCM of 957,726,671,231,269 with Prime Factorization
3 | 957, 726, 671, 231, 269 |
11 | 319, 242, 671, 77, 269 |
29, 22, 61, 7, 269 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 29 x 22 x 61 x 7 x 269 = 2418325602
Therefore, the lowest common multiple of 957,726,671,231,269 is 2418325602.
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 726 x 671 x 231 x 269 = 28969122386358
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
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
671 : 1, 11, 61, 671
231 : 1, 3, 7, 11, 21, 33, 77, 231
269 : 1, 269
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,726,671,231,269, is 1.
Now, the common factors can be found like this.
957:3x 11x 29
726:2x 3x 11x 11
671:11x 61
231:3x 7x 11
269:269
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 11x 11x 11 = 11979
Therefore, the value for common factors is 11979.
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 = 28969122386358/(1x11979)
LCM = 28969122386358/11979
LCM = 2418325602
Thus, we can understand that the LCM of 957,726,671,231,269 is 2418325602.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 957, 726, 671, 231, 269?
Answer: LCM of 957, 726, 671, 231, 269 is 2418325602.
2. How to calculate the LCM of 957, 726, 671, 231, 269?
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, 726, 671, 231, 269.
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}.