Find the LCM of 932, 957, 867, 377, 436 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 932, 957, 867, 377, 436. So, keep reading to learn more.
Given numbers are 932,957,867,377,436
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 932,957,867,377,436 is 365254473012.
Find LCM of 932,957,867,377,436 with Prime Factorization
2 | 932, 957, 867, 377, 436 |
2 | 466, 957, 867, 377, 218 |
3 | 233, 957, 867, 377, 109 |
29 | 233, 319, 289, 377, 109 |
233, 11, 289, 13, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 29 x 233 x 11 x 289 x 13 x 109 = 365254473012
Therefore, the lowest common multiple of 932,957,867,377,436 is 365254473012.
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.
932 x 957 x 867 x 377 x 436 = 127108556608176
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.
932 : 1, 2, 4, 233, 466, 932
957 : 1, 3, 11, 29, 33, 87, 319, 957
867 : 1, 3, 17, 51, 289, 867
377 : 1, 13, 29, 377
436 : 1, 2, 4, 109, 218, 436
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 932,957,867,377,436, is 1.
Now, the common factors can be found like this.
932:2x 2x 233
957:3x 11x 29
867:3x 17x 17
377:13x 29
436:2x 2x 109
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 29 = 348
Therefore, the value for common factors is 348.
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 = 127108556608176/(1x348)
LCM = 127108556608176/348
LCM = 365254473012
Thus, we can understand that the LCM of 932,957,867,377,436 is 365254473012.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 932, 957, 867, 377, 436?
Answer: LCM of 932, 957, 867, 377, 436 is 365254473012.
2. How to calculate the LCM of 932, 957, 867, 377, 436?
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 932, 957, 867, 377, 436.
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}.