Find the LCM of 715, 590, 859, 882 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, 590, 859, 882. So, keep reading to learn more.
Given numbers are 715,590,859,882
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 715,590,859,882 is 31960959030.
Find LCM of 715,590,859,882 with Prime Factorization
2 | 715, 590, 859, 882 |
5 | 715, 295, 859, 441 |
143, 59, 859, 441 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 143 x 59 x 859 x 441 = 31960959030
Therefore, the lowest common multiple of 715,590,859,882 is 31960959030.
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 590 x 859 x 882 = 319609590300
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
590 : 1, 2, 5, 10, 59, 118, 295, 590
859 : 1, 859
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,590,859,882, is 1.
Now, the common factors can be found like this.
715:5x 11x 13
590:2x 5x 59
859:859
882:2x 3x 3x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 319609590300/(1x10)
LCM = 319609590300/10
LCM = 31960959030
Thus, we can understand that the LCM of 715,590,859,882 is 31960959030.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 715, 590, 859, 882?
Answer: LCM of 715, 590, 859, 882 is 31960959030.
2. How to calculate the LCM of 715, 590, 859, 882?
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, 590, 859, 882.
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}.