Find the LCM of 347, 806, 121, 577, 658 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, 806, 121, 577, 658. So, keep reading to learn more.
Given numbers are 347,806,121,577,658
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 347,806,121,577,658 is 6424237645826.
Find LCM of 347,806,121,577,658 with Prime Factorization
2 | 347, 806, 121, 577, 658 |
347, 403, 121, 577, 329 |
Multiply the prime numbers at the bottom and the left side.
2 x 347 x 403 x 121 x 577 x 329 = 6424237645826
Therefore, the lowest common multiple of 347,806,121,577,658 is 6424237645826.
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 806 x 121 x 577 x 658 = 12848475291652
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
806 : 1, 2, 13, 26, 31, 62, 403, 806
121 : 1, 11, 121
577 : 1, 577
658 : 1, 2, 7, 14, 47, 94, 329, 658
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 347,806,121,577,658, is 1.
Now, the common factors can be found like this.
347:347
806:2x 13x 31
121:11x 11
577:577
658:2x 7x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 12848475291652/(1x2)
LCM = 12848475291652/2
LCM = 6424237645826
Thus, we can understand that the LCM of 347,806,121,577,658 is 6424237645826.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 347, 806, 121, 577, 658?
Answer: LCM of 347, 806, 121, 577, 658 is 6424237645826.
2. How to calculate the LCM of 347, 806, 121, 577, 658?
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, 806, 121, 577, 658.
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}.