Find the LCM of 906, 599, 599, 131, 785 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 906, 599, 599, 131, 785. So, keep reading to learn more.
Given numbers are 906,599,599,131,785
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,599,599,131,785 is 55807937490.
Find LCM of 906,599,599,131,785 with Prime Factorization
599 | 906, 599, 599, 131, 785 |
906, 1, 1, 131, 785 |
Multiply the prime numbers at the bottom and the left side.
599 x 906 x 1 x 1 x 131 x 785 = 55807937490
Therefore, the lowest common multiple of 906,599,599,131,785 is 55807937490.
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.
906 x 599 x 599 x 131 x 785 = 33428954556510
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.
906 : 1, 2, 3, 6, 151, 302, 453, 906
599 : 1, 599
599 : 1, 599
131 : 1, 131
785 : 1, 5, 157, 785
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,599,599,131,785, is 1.
Now, the common factors can be found like this.
906:2x 3x 151
599:599
599:599
131:131
785:5x 157
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
599 = 599
Therefore, the value for common factors is 599.
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 = 33428954556510/(1x599)
LCM = 33428954556510/599
LCM = 55807937490
Thus, we can understand that the LCM of 906,599,599,131,785 is 55807937490.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 906, 599, 599, 131, 785?
Answer: LCM of 906, 599, 599, 131, 785 is 55807937490.
2. How to calculate the LCM of 906, 599, 599, 131, 785?
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 906, 599, 599, 131, 785.
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}.