Find the LCM of 355, 745, 663, 871, 130 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 355, 745, 663, 871, 130. So, keep reading to learn more.
Given numbers are 355,745,663,871,130
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 355,745,663,871,130 is 4699297590.
Find LCM of 355,745,663,871,130 with Prime Factorization
5 | 355, 745, 663, 871, 130 |
13 | 71, 149, 663, 871, 26 |
71, 149, 51, 67, 2 |
Multiply the prime numbers at the bottom and the left side.
5 x 13 x 71 x 149 x 51 x 67 x 2 = 4699297590
Therefore, the lowest common multiple of 355,745,663,871,130 is 4699297590.
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.
355 x 745 x 663 x 871 x 130 = 19854532317750
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.
355 : 1, 5, 71, 355
745 : 1, 5, 149, 745
663 : 1, 3, 13, 17, 39, 51, 221, 663
871 : 1, 13, 67, 871
130 : 1, 2, 5, 10, 13, 26, 65, 130
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 355,745,663,871,130, is 1.
Now, the common factors can be found like this.
355:5x 71
745:5x 149
663:3x 13x 17
871:13x 67
130:2x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 13x 13 = 4225
Therefore, the value for common factors is 4225.
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 = 19854532317750/(1x4225)
LCM = 19854532317750/4225
LCM = 4699297590
Thus, we can understand that the LCM of 355,745,663,871,130 is 4699297590.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 355, 745, 663, 871, 130?
Answer: LCM of 355, 745, 663, 871, 130 is 4699297590.
2. How to calculate the LCM of 355, 745, 663, 871, 130?
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 355, 745, 663, 871, 130.
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}.