Find the LCM of 932, 685, 961, 640, 347 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, 685, 961, 640, 347. So, keep reading to learn more.
Given numbers are 932,685,961,640,347
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 932,685,961,640,347 is 6812544068480.
Find LCM of 932,685,961,640,347 with Prime Factorization
2 | 932, 685, 961, 640, 347 |
2 | 466, 685, 961, 320, 347 |
5 | 233, 685, 961, 160, 347 |
233, 137, 961, 32, 347 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 233 x 137 x 961 x 32 x 347 = 6812544068480
Therefore, the lowest common multiple of 932,685,961,640,347 is 6812544068480.
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 685 x 961 x 640 x 347 = 136250881369600
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
685 : 1, 5, 137, 685
961 : 1, 31, 961
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
347 : 1, 347
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 932,685,961,640,347, is 1.
Now, the common factors can be found like this.
932:2x 2x 233
685:5x 137
961:31x 31
640:2x 2x 2x 2x 2x 2x 2x 5
347:347
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 5 = 20
Therefore, the value for common factors is 20.
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 = 136250881369600/(1x20)
LCM = 136250881369600/20
LCM = 6812544068480
Thus, we can understand that the LCM of 932,685,961,640,347 is 6812544068480.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 932, 685, 961, 640, 347?
Answer: LCM of 932, 685, 961, 640, 347 is 6812544068480.
2. How to calculate the LCM of 932, 685, 961, 640, 347?
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, 685, 961, 640, 347.
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}.