LCM of 193, 133, 741, 597, 783
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 193, 133, 741, 597, 783 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 193, 133, 741, 597, 783. So, keep reading to learn more.
Given numbers are 193,133,741,597,783
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 193,133,741,597,783 is 51995665449.
Find LCM of 193,133,741,597,783 with Prime Factorization
| 3 | 193, 133, 741, 597, 783 |
| 19 | 193, 133, 247, 199, 261 |
| 193, 7, 13, 199, 261 |
Multiply the prime numbers at the bottom and the left side.
3 x 19 x 193 x 7 x 13 x 199 x 261 = 51995665449
Therefore, the lowest common multiple of 193,133,741,597,783 is 51995665449.
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.
193 x 133 x 741 x 597 x 783 = 8891258791779
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.
193 : 1, 193
133 : 1, 7, 19, 133
741 : 1, 3, 13, 19, 39, 57, 247, 741
597 : 1, 3, 199, 597
783 : 1, 3, 9, 27, 29, 87, 261, 783
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 193,133,741,597,783, is 1.
Now, the common factors can be found like this.
193:193
133:7x 19
741:3x 13x 19
597:3x 199
783:3x 3x 3x 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 19 = 171
Therefore, the value for common factors is 171.
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 = 8891258791779/(1x171)
LCM = 8891258791779/171
LCM = 51995665449
Thus, we can understand that the LCM of 193,133,741,597,783 is 51995665449.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 193, 133, 741, 597, 783
1. What is the LCM of 193, 133, 741, 597, 783?
Answer: LCM of 193, 133, 741, 597, 783 is 51995665449.
2. How to calculate the LCM of 193, 133, 741, 597, 783?
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 193, 133, 741, 597, 783.
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}.