Find the LCM of 347, 724, 726, 484, 989 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, 724, 726, 484, 989. So, keep reading to learn more.
Given numbers are 347,724,726,484,989
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 347,724,726,484,989 is 90192610596.
Find LCM of 347,724,726,484,989 with Prime Factorization
2 | 347, 724, 726, 484, 989 |
2 | 347, 362, 363, 242, 989 |
11 | 347, 181, 363, 121, 989 |
11 | 347, 181, 33, 11, 989 |
347, 181, 3, 1, 989 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 11 x 347 x 181 x 3 x 1 x 989 = 90192610596
Therefore, the lowest common multiple of 347,724,726,484,989 is 90192610596.
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 724 x 726 x 484 x 989 = 87306447056928
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
724 : 1, 2, 4, 181, 362, 724
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
989 : 1, 23, 43, 989
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 347,724,726,484,989, is 1.
Now, the common factors can be found like this.
347:347
724:2x 2x 181
726:2x 3x 11x 11
484:2x 2x 11x 11
989:23x 43
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 11x 11 = 968
Therefore, the value for common factors is 968.
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 = 87306447056928/(1x968)
LCM = 87306447056928/968
LCM = 90192610596
Thus, we can understand that the LCM of 347,724,726,484,989 is 90192610596.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 347, 724, 726, 484, 989?
Answer: LCM of 347, 724, 726, 484, 989 is 90192610596.
2. How to calculate the LCM of 347, 724, 726, 484, 989?
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, 724, 726, 484, 989.
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}.