Find the LCM of 739, 579, 965, 304 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 739, 579, 965, 304. So, keep reading to learn more.
Given numbers are 739,579,965,304
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 739,579,965,304 is 650379120.
Find LCM of 739,579,965,304 with Prime Factorization
193 | 739, 579, 965, 304 |
739, 3, 5, 304 |
Multiply the prime numbers at the bottom and the left side.
193 x 739 x 3 x 5 x 304 = 650379120
Therefore, the lowest common multiple of 739,579,965,304 is 650379120.
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.
739 x 579 x 965 x 304 = 125523170160
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.
739 : 1, 739
579 : 1, 3, 193, 579
965 : 1, 5, 193, 965
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 739,579,965,304, is 1.
Now, the common factors can be found like this.
739:739
579:3x 193
965:5x 193
304:2x 2x 2x 2x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
193 = 193
Therefore, the value for common factors is 193.
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 = 125523170160/(1x193)
LCM = 125523170160/193
LCM = 650379120
Thus, we can understand that the LCM of 739,579,965,304 is 650379120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 739, 579, 965, 304?
Answer: LCM of 739, 579, 965, 304 is 650379120.
2. How to calculate the LCM of 739, 579, 965, 304?
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 739, 579, 965, 304.
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}.