Find the LCM of 807, 519, 225, 969, 875 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, 519, 225, 969, 875. So, keep reading to learn more.
Given numbers are 807,519,225,969,875
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 807,519,225,969,875 is 118372676625.
Find LCM of 807,519,225,969,875 with Prime Factorization
3 | 807, 519, 225, 969, 875 |
5 | 269, 173, 75, 323, 875 |
5 | 269, 173, 15, 323, 175 |
269, 173, 3, 323, 35 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 5 x 269 x 173 x 3 x 323 x 35 = 118372676625
Therefore, the lowest common multiple of 807,519,225,969,875 is 118372676625.
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 519 x 225 x 969 x 875 = 79901556721875
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
519 : 1, 3, 173, 519
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
969 : 1, 3, 17, 19, 51, 57, 323, 969
875 : 1, 5, 7, 25, 35, 125, 175, 875
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 807,519,225,969,875, is 1.
Now, the common factors can be found like this.
807:3x 269
519:3x 173
225:3x 3x 5x 5
969:3x 17x 19
875:5x 5x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 5x 5 = 675
Therefore, the value for common factors is 675.
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 = 79901556721875/(1x675)
LCM = 79901556721875/675
LCM = 118372676625
Thus, we can understand that the LCM of 807,519,225,969,875 is 118372676625.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 807, 519, 225, 969, 875?
Answer: LCM of 807, 519, 225, 969, 875 is 118372676625.
2. How to calculate the LCM of 807, 519, 225, 969, 875?
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, 519, 225, 969, 875.
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}.