LCM of 319, 480, 391, 272, 725
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 319, 480, 391, 272, 725 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, 480, 391, 272, 725. So, keep reading to learn more.
Given numbers are 319,480,391,272,725
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,480,391,272,725 is 299349600.
Find LCM of 319,480,391,272,725 with Prime Factorization
| 2 | 319, 480, 391, 272, 725 |
| 2 | 319, 240, 391, 136, 725 |
| 2 | 319, 120, 391, 68, 725 |
| 2 | 319, 60, 391, 34, 725 |
| 5 | 319, 30, 391, 17, 725 |
| 17 | 319, 6, 391, 17, 145 |
| 29 | 319, 6, 23, 1, 145 |
| 11, 6, 23, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 17 x 29 x 11 x 6 x 23 x 1 x 5 = 299349600
Therefore, the lowest common multiple of 319,480,391,272,725 is 299349600.
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 480 x 391 x 272 x 725 = 11806348224000
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
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
391 : 1, 17, 23, 391
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
725 : 1, 5, 25, 29, 145, 725
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,480,391,272,725, is 1.
Now, the common factors can be found like this.
319:11x 29
480:2x 2x 2x 2x 2x 3x 5
391:17x 23
272:2x 2x 2x 2x 17
725:5x 5x 29
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 2x 2x 5x 17x 29 = 39440
Therefore, the value for common factors is 39440.
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 = 11806348224000/(1x39440)
LCM = 11806348224000/39440
LCM = 299349600
Thus, we can understand that the LCM of 319,480,391,272,725 is 299349600.
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FAQs on LCM of 319, 480, 391, 272, 725
1. What is the LCM of 319, 480, 391, 272, 725?
Answer: LCM of 319, 480, 391, 272, 725 is 299349600.
2. How to calculate the LCM of 319, 480, 391, 272, 725?
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, 480, 391, 272, 725.
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}.