Find the LCM of 599, 599, 750, 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 599, 599, 750, 785. So, keep reading to learn more.
Given numbers are 599,599,750,785
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 599,599,750,785 is 70532250.
Find LCM of 599,599,750,785 with Prime Factorization
5 | 599, 599, 750, 785 |
599 | 599, 599, 150, 157 |
1, 1, 150, 157 |
Multiply the prime numbers at the bottom and the left side.
5 x 599 x 1 x 1 x 150 x 157 = 70532250
Therefore, the lowest common multiple of 599,599,750,785 is 70532250.
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.
599 x 599 x 750 x 785 = 211244088750
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.
599 : 1, 599
599 : 1, 599
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
785 : 1, 5, 157, 785
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 599,599,750,785, is 1.
Now, the common factors can be found like this.
599:599
599:599
750:2x 3x 5x 5x 5
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.
5x 599 = 2995
Therefore, the value for common factors is 2995.
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 = 211244088750/(1x2995)
LCM = 211244088750/2995
LCM = 70532250
Thus, we can understand that the LCM of 599,599,750,785 is 70532250.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 599, 599, 750, 785?
Answer: LCM of 599, 599, 750, 785 is 70532250.
2. How to calculate the LCM of 599, 599, 750, 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 599, 599, 750, 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}.