Find the LCM of 347, 484, 640, 796, 605 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 347, 484, 640, 796, 605. So, keep reading to learn more.
Given numbers are 347,484,640,796,605
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 347,484,640,796,605 is 5347464320.
Find LCM of 347,484,640,796,605 with Prime Factorization
2 | 347, 484, 640, 796, 605 |
2 | 347, 242, 320, 398, 605 |
5 | 347, 121, 160, 199, 605 |
11 | 347, 121, 32, 199, 121 |
11 | 347, 11, 32, 199, 11 |
347, 1, 32, 199, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 11 x 347 x 1 x 32 x 199 x 1 = 5347464320
Therefore, the lowest common multiple of 347,484,640,796,605 is 5347464320.
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.
347 x 484 x 640 x 796 x 605 = 51763454617600
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.
347 : 1, 347
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
796 : 1, 2, 4, 199, 398, 796
605 : 1, 5, 11, 55, 121, 605
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 347,484,640,796,605, is 1.
Now, the common factors can be found like this.
347:347
484:2x 2x 11x 11
640:2x 2x 2x 2x 2x 2x 2x 5
796:2x 2x 199
605:5x 11x 11
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 2x 2x 5x 11x 11 = 9680
Therefore, the value for common factors is 9680.
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 = 51763454617600/(1x9680)
LCM = 51763454617600/9680
LCM = 5347464320
Thus, we can understand that the LCM of 347,484,640,796,605 is 5347464320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 347, 484, 640, 796, 605?
Answer: LCM of 347, 484, 640, 796, 605 is 5347464320.
2. How to calculate the LCM of 347, 484, 640, 796, 605?
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 347, 484, 640, 796, 605.
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}.