LCM of 297, 205, 105, 844, 738
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 297, 205, 105, 844, 738 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, 205, 105, 844, 738. So, keep reading to learn more.
Given numbers are 297,205,105,844,738
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 297,205,105,844,738 is 359708580.
Find LCM of 297,205,105,844,738 with Prime Factorization
| 2 | 297, 205, 105, 844, 738 |
| 3 | 297, 205, 105, 422, 369 |
| 3 | 99, 205, 35, 422, 123 |
| 5 | 33, 205, 35, 422, 41 |
| 41 | 33, 41, 7, 422, 41 |
| 33, 1, 7, 422, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 41 x 33 x 1 x 7 x 422 x 1 = 359708580
Therefore, the lowest common multiple of 297,205,105,844,738 is 359708580.
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 205 x 105 x 844 x 738 = 3981973980600
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
205 : 1, 5, 41, 205
105 : 1, 3, 5, 7, 15, 21, 35, 105
844 : 1, 2, 4, 211, 422, 844
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 297,205,105,844,738, is 1.
Now, the common factors can be found like this.
297:3x 3x 3x 11
205:5x 41
105:3x 5x 7
844:2x 2x 211
738:2x 3x 3x 41
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 3x 3x 5x 41 = 11070
Therefore, the value for common factors is 11070.
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 = 3981973980600/(1x11070)
LCM = 3981973980600/11070
LCM = 359708580
Thus, we can understand that the LCM of 297,205,105,844,738 is 359708580.
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FAQs on LCM of 297, 205, 105, 844, 738
1. What is the LCM of 297, 205, 105, 844, 738?
Answer: LCM of 297, 205, 105, 844, 738 is 359708580.
2. How to calculate the LCM of 297, 205, 105, 844, 738?
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, 205, 105, 844, 738.
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}.