LCM of 195, 710, 713, 391, 872
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 195, 710, 713, 391, 872 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 195, 710, 713, 391, 872. So, keep reading to learn more.
Given numbers are 195,710,713,391,872
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 195,710,713,391,872 is 146334893640.
Find LCM of 195,710,713,391,872 with Prime Factorization
| 2 | 195, 710, 713, 391, 872 |
| 5 | 195, 355, 713, 391, 436 |
| 23 | 39, 71, 713, 391, 436 |
| 39, 71, 31, 17, 436 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 23 x 39 x 71 x 31 x 17 x 436 = 146334893640
Therefore, the lowest common multiple of 195,710,713,391,872 is 146334893640.
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.
195 x 710 x 713 x 391 x 872 = 33657025537200
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.
195 : 1, 3, 5, 13, 15, 39, 65, 195
710 : 1, 2, 5, 10, 71, 142, 355, 710
713 : 1, 23, 31, 713
391 : 1, 17, 23, 391
872 : 1, 2, 4, 8, 109, 218, 436, 872
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 195,710,713,391,872, is 1.
Now, the common factors can be found like this.
195:3x 5x 13
710:2x 5x 71
713:23x 31
391:17x 23
872:2x 2x 2x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 23 = 230
Therefore, the value for common factors is 230.
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 = 33657025537200/(1x230)
LCM = 33657025537200/230
LCM = 146334893640
Thus, we can understand that the LCM of 195,710,713,391,872 is 146334893640.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 195, 710, 713, 391, 872
1. What is the LCM of 195, 710, 713, 391, 872?
Answer: LCM of 195, 710, 713, 391, 872 is 146334893640.
2. How to calculate the LCM of 195, 710, 713, 391, 872?
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 195, 710, 713, 391, 872.
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}.