LCM of 319, 290, 465, 746, 195
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 319, 290, 465, 746, 195 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, 290, 465, 746, 195. So, keep reading to learn more.
Given numbers are 319,290,465,746,195
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,290,465,746,195 is 1438552830.
Find LCM of 319,290,465,746,195 with Prime Factorization
| 2 | 319, 290, 465, 746, 195 |
| 3 | 319, 145, 465, 373, 195 |
| 5 | 319, 145, 155, 373, 65 |
| 29 | 319, 29, 31, 373, 13 |
| 11, 1, 31, 373, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 29 x 11 x 1 x 31 x 373 x 13 = 1438552830
Therefore, the lowest common multiple of 319,290,465,746,195 is 1438552830.
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 290 x 465 x 746 x 195 = 6257704810500
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
290 : 1, 2, 5, 10, 29, 58, 145, 290
465 : 1, 3, 5, 15, 31, 93, 155, 465
746 : 1, 2, 373, 746
195 : 1, 3, 5, 13, 15, 39, 65, 195
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,290,465,746,195, is 1.
Now, the common factors can be found like this.
319:11x 29
290:2x 5x 29
465:3x 5x 31
746:2x 373
195:3x 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.
2x 3x 5x 5x 29 = 4350
Therefore, the value for common factors is 4350.
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 = 6257704810500/(1x4350)
LCM = 6257704810500/4350
LCM = 1438552830
Thus, we can understand that the LCM of 319,290,465,746,195 is 1438552830.
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FAQs on LCM of 319, 290, 465, 746, 195
1. What is the LCM of 319, 290, 465, 746, 195?
Answer: LCM of 319, 290, 465, 746, 195 is 1438552830.
2. How to calculate the LCM of 319, 290, 465, 746, 195?
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, 290, 465, 746, 195.
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}.