Find the LCM of 557, 705, 660, 968, 789 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 557, 705, 660, 968, 789. So, keep reading to learn more.
Given numbers are 557,705,660,968,789
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 557,705,660,968,789 is 99971318040.
Find LCM of 557,705,660,968,789 with Prime Factorization
2 | 557, 705, 660, 968, 789 |
2 | 557, 705, 330, 484, 789 |
3 | 557, 705, 165, 242, 789 |
5 | 557, 235, 55, 242, 263 |
11 | 557, 47, 11, 242, 263 |
557, 47, 1, 22, 263 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 557 x 47 x 1 x 22 x 263 = 99971318040
Therefore, the lowest common multiple of 557,705,660,968,789 is 99971318040.
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.
557 x 705 x 660 x 968 x 789 = 197943209719200
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.
557 : 1, 557
705 : 1, 3, 5, 15, 47, 141, 235, 705
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
789 : 1, 3, 263, 789
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 557,705,660,968,789, is 1.
Now, the common factors can be found like this.
557:557
705:3x 5x 47
660:2x 2x 3x 5x 11
968:2x 2x 2x 11x 11
789:3x 263
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 3x 5x 11 = 1980
Therefore, the value for common factors is 1980.
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 = 197943209719200/(1x1980)
LCM = 197943209719200/1980
LCM = 99971318040
Thus, we can understand that the LCM of 557,705,660,968,789 is 99971318040.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 557, 705, 660, 968, 789?
Answer: LCM of 557, 705, 660, 968, 789 is 99971318040.
2. How to calculate the LCM of 557, 705, 660, 968, 789?
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 557, 705, 660, 968, 789.
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}.