Find the LCM of 807, 783, 778, 580, 133 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, 783, 778, 580, 133. So, keep reading to learn more.
Given numbers are 807,783,778,580,133
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 807,783,778,580,133 is 217944181980.
Find LCM of 807,783,778,580,133 with Prime Factorization
2 | 807, 783, 778, 580, 133 |
3 | 807, 783, 389, 290, 133 |
29 | 269, 261, 389, 290, 133 |
269, 9, 389, 10, 133 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 269 x 9 x 389 x 10 x 133 = 217944181980
Therefore, the lowest common multiple of 807,783,778,580,133 is 217944181980.
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 783 x 778 x 580 x 133 = 37922287664520
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
783 : 1, 3, 9, 27, 29, 87, 261, 783
778 : 1, 2, 389, 778
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
133 : 1, 7, 19, 133
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 807,783,778,580,133, is 1.
Now, the common factors can be found like this.
807:3x 269
783:3x 3x 3x 29
778:2x 389
580:2x 2x 5x 29
133:7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 29 = 174
Therefore, the value for common factors is 174.
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 = 37922287664520/(1x174)
LCM = 37922287664520/174
LCM = 217944181980
Thus, we can understand that the LCM of 807,783,778,580,133 is 217944181980.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 807, 783, 778, 580, 133?
Answer: LCM of 807, 783, 778, 580, 133 is 217944181980.
2. How to calculate the LCM of 807, 783, 778, 580, 133?
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, 783, 778, 580, 133.
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}.