Find the LCM of 319, 877, 643, 871, 117 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 319, 877, 643, 871, 117. So, keep reading to learn more.
Given numbers are 319,877,643,871,117
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,877,643,871,117 is 1410138966951.
Find LCM of 319,877,643,871,117 with Prime Factorization
13 | 319, 877, 643, 871, 117 |
319, 877, 643, 67, 9 |
Multiply the prime numbers at the bottom and the left side.
13 x 319 x 877 x 643 x 67 x 9 = 1410138966951
Therefore, the lowest common multiple of 319,877,643,871,117 is 1410138966951.
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.
319 x 877 x 643 x 871 x 117 = 18331806570363
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.
319 : 1, 11, 29, 319
877 : 1, 877
643 : 1, 643
871 : 1, 13, 67, 871
117 : 1, 3, 9, 13, 39, 117
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,877,643,871,117, is 1.
Now, the common factors can be found like this.
319:11x 29
877:877
643:643
871:13x 67
117:3x 3x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 18331806570363/(1x13)
LCM = 18331806570363/13
LCM = 1410138966951
Thus, we can understand that the LCM of 319,877,643,871,117 is 1410138966951.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 319, 877, 643, 871, 117?
Answer: LCM of 319, 877, 643, 871, 117 is 1410138966951.
2. How to calculate the LCM of 319, 877, 643, 871, 117?
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 319, 877, 643, 871, 117.
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}.