Find the LCM of 871, 708, 815, 472, 547 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 871, 708, 815, 472, 547. So, keep reading to learn more.
Given numbers are 871,708,815,472,547
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 871,708,815,472,547 is 549827355480.
Find LCM of 871,708,815,472,547 with Prime Factorization
2 | 871, 708, 815, 472, 547 |
2 | 871, 354, 815, 236, 547 |
59 | 871, 177, 815, 118, 547 |
871, 3, 815, 2, 547 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 59 x 871 x 3 x 815 x 2 x 547 = 549827355480
Therefore, the lowest common multiple of 871,708,815,472,547 is 549827355480.
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.
871 x 708 x 815 x 472 x 547 = 129759255893280
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.
871 : 1, 13, 67, 871
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
815 : 1, 5, 163, 815
472 : 1, 2, 4, 8, 59, 118, 236, 472
547 : 1, 547
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 871,708,815,472,547, is 1.
Now, the common factors can be found like this.
871:13x 67
708:2x 2x 3x 59
815:5x 163
472:2x 2x 2x 59
547:547
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 59 = 236
Therefore, the value for common factors is 236.
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 = 129759255893280/(1x236)
LCM = 129759255893280/236
LCM = 549827355480
Thus, we can understand that the LCM of 871,708,815,472,547 is 549827355480.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 871, 708, 815, 472, 547?
Answer: LCM of 871, 708, 815, 472, 547 is 549827355480.
2. How to calculate the LCM of 871, 708, 815, 472, 547?
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 871, 708, 815, 472, 547.
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}.