LCM of 807, 390, 960, 574
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 807, 390, 960, 574 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 807, 390, 960, 574. So, keep reading to learn more.
Given numbers are 807,390,960,574
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 807,390,960,574 is 963493440.
Find LCM of 807,390,960,574 with Prime Factorization
| 2 | 807, 390, 960, 574 |
| 3 | 807, 195, 480, 287 |
| 5 | 269, 65, 160, 287 |
| 269, 13, 32, 287 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 269 x 13 x 32 x 287 = 963493440
Therefore, the lowest common multiple of 807,390,960,574 is 963493440.
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.
807 x 390 x 960 x 574 = 173428819200
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.
807 : 1, 3, 269, 807
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
574 : 1, 2, 7, 14, 41, 82, 287, 574
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 807,390,960,574, is 1.
Now, the common factors can be found like this.
807:3x 269
390:2x 3x 5x 13
960:2x 2x 2x 2x 2x 2x 3x 5
574:2x 7x 41
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 5 = 180
Therefore, the value for common factors is 180.
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 = 173428819200/(1x180)
LCM = 173428819200/180
LCM = 963493440
Thus, we can understand that the LCM of 807,390,960,574 is 963493440.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 807, 390, 960, 574
1. What is the LCM of 807, 390, 960, 574?
Answer: LCM of 807, 390, 960, 574 is 963493440.
2. How to calculate the LCM of 807, 390, 960, 574?
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 807, 390, 960, 574.
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}.