Find the LCM of 715, 739, 999, 270 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 715, 739, 999, 270. So, keep reading to learn more.
Given numbers are 715,739,999,270
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 715,739,999,270 is 1055713230.
Find LCM of 715,739,999,270 with Prime Factorization
3 | 715, 739, 999, 270 |
3 | 715, 739, 333, 90 |
3 | 715, 739, 111, 30 |
5 | 715, 739, 37, 10 |
143, 739, 37, 2 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 5 x 143 x 739 x 37 x 2 = 1055713230
Therefore, the lowest common multiple of 715,739,999,270 is 1055713230.
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.
715 x 739 x 999 x 270 = 142521286050
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.
715 : 1, 5, 11, 13, 55, 65, 143, 715
739 : 1, 739
999 : 1, 3, 9, 27, 37, 111, 333, 999
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,739,999,270, is 1.
Now, the common factors can be found like this.
715:5x 11x 13
739:739
999:3x 3x 3x 37
270:2x 3x 3x 3x 5
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 5 = 135
Therefore, the value for common factors is 135.
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 = 142521286050/(1x135)
LCM = 142521286050/135
LCM = 1055713230
Thus, we can understand that the LCM of 715,739,999,270 is 1055713230.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 715, 739, 999, 270?
Answer: LCM of 715, 739, 999, 270 is 1055713230.
2. How to calculate the LCM of 715, 739, 999, 270?
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 715, 739, 999, 270.
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}.