LCM of 297, 838, 513, 893, 319
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 297, 838, 513, 893, 319 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 297, 838, 513, 893, 319. So, keep reading to learn more.
Given numbers are 297,838,513,893,319
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 297,838,513,893,319 is 6445400742.
Find LCM of 297,838,513,893,319 with Prime Factorization
| 3 | 297, 838, 513, 893, 319 |
| 3 | 99, 838, 171, 893, 319 |
| 3 | 33, 838, 57, 893, 319 |
| 11 | 11, 838, 19, 893, 319 |
| 19 | 1, 838, 19, 893, 29 |
| 1, 838, 1, 47, 29 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 11 x 19 x 1 x 838 x 1 x 47 x 29 = 6445400742
Therefore, the lowest common multiple of 297,838,513,893,319 is 6445400742.
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.
297 x 838 x 513 x 893 x 319 = 36371396387106
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.
297 : 1, 3, 9, 11, 27, 33, 99, 297
838 : 1, 2, 419, 838
513 : 1, 3, 9, 19, 27, 57, 171, 513
893 : 1, 19, 47, 893
319 : 1, 11, 29, 319
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 297,838,513,893,319, is 1.
Now, the common factors can be found like this.
297:3x 3x 3x 11
838:2x 419
513:3x 3x 3x 19
893:19x 47
319:11x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 11x 19 = 5643
Therefore, the value for common factors is 5643.
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 = 36371396387106/(1x5643)
LCM = 36371396387106/5643
LCM = 6445400742
Thus, we can understand that the LCM of 297,838,513,893,319 is 6445400742.
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FAQs on LCM of 297, 838, 513, 893, 319
1. What is the LCM of 297, 838, 513, 893, 319?
Answer: LCM of 297, 838, 513, 893, 319 is 6445400742.
2. How to calculate the LCM of 297, 838, 513, 893, 319?
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 297, 838, 513, 893, 319.
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}.