LCM of 319, 408, 398, 297, 680
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 319, 408, 398, 297, 680 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, 408, 398, 297, 680. So, keep reading to learn more.
Given numbers are 319,408,398,297,680
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,408,398,297,680 is 1165511160.
Find LCM of 319,408,398,297,680 with Prime Factorization
| 2 | 319, 408, 398, 297, 680 |
| 2 | 319, 204, 199, 297, 340 |
| 2 | 319, 102, 199, 297, 170 |
| 3 | 319, 51, 199, 297, 85 |
| 11 | 319, 17, 199, 99, 85 |
| 17 | 29, 17, 199, 9, 85 |
| 29, 1, 199, 9, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 17 x 29 x 1 x 199 x 9 x 5 = 1165511160
Therefore, the lowest common multiple of 319,408,398,297,680 is 1165511160.
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 408 x 398 x 297 x 680 = 10461628172160
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
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
398 : 1, 2, 199, 398
297 : 1, 3, 9, 11, 27, 33, 99, 297
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,408,398,297,680, is 1.
Now, the common factors can be found like this.
319:11x 29
408:2x 2x 2x 3x 17
398:2x 199
297:3x 3x 3x 11
680:2x 2x 2x 5x 17
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 3x 11x 17 = 8976
Therefore, the value for common factors is 8976.
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 = 10461628172160/(1x8976)
LCM = 10461628172160/8976
LCM = 1165511160
Thus, we can understand that the LCM of 319,408,398,297,680 is 1165511160.
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FAQs on LCM of 319, 408, 398, 297, 680
1. What is the LCM of 319, 408, 398, 297, 680?
Answer: LCM of 319, 408, 398, 297, 680 is 1165511160.
2. How to calculate the LCM of 319, 408, 398, 297, 680?
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, 408, 398, 297, 680.
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}.