Find the LCM of 907, 649, 845, 616, 977 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 907, 649, 845, 616, 977. So, keep reading to learn more.
Given numbers are 907,649,845,616,977
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 907,649,845,616,977 is 27213931264520.
Find LCM of 907,649,845,616,977 with Prime Factorization
11 | 907, 649, 845, 616, 977 |
907, 59, 845, 56, 977 |
Multiply the prime numbers at the bottom and the left side.
11 x 907 x 59 x 845 x 56 x 977 = 27213931264520
Therefore, the lowest common multiple of 907,649,845,616,977 is 27213931264520.
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.
907 x 649 x 845 x 616 x 977 = 299353243909720
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.
907 : 1, 907
649 : 1, 11, 59, 649
845 : 1, 5, 13, 65, 169, 845
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
977 : 1, 977
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 907,649,845,616,977, is 1.
Now, the common factors can be found like this.
907:907
649:11x 59
845:5x 13x 13
616:2x 2x 2x 7x 11
977:977
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 299353243909720/(1x11)
LCM = 299353243909720/11
LCM = 27213931264520
Thus, we can understand that the LCM of 907,649,845,616,977 is 27213931264520.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 907, 649, 845, 616, 977?
Answer: LCM of 907, 649, 845, 616, 977 is 27213931264520.
2. How to calculate the LCM of 907, 649, 845, 616, 977?
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 907, 649, 845, 616, 977.
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}.