LCM of 133, 935, 741, 350, 838
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 133, 935, 741, 350, 838 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 133, 935, 741, 350, 838. So, keep reading to learn more.
Given numbers are 133,935,741,350,838
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 133,935,741,350,838 is 20320850550.
Find LCM of 133,935,741,350,838 with Prime Factorization
| 2 | 133, 935, 741, 350, 838 |
| 5 | 133, 935, 741, 175, 419 |
| 7 | 133, 187, 741, 35, 419 |
| 19 | 19, 187, 741, 5, 419 |
| 1, 187, 39, 5, 419 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 19 x 1 x 187 x 39 x 5 x 419 = 20320850550
Therefore, the lowest common multiple of 133,935,741,350,838 is 20320850550.
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.
133 x 935 x 741 x 350 x 838 = 27026731231500
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.
133 : 1, 7, 19, 133
935 : 1, 5, 11, 17, 55, 85, 187, 935
741 : 1, 3, 13, 19, 39, 57, 247, 741
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
838 : 1, 2, 419, 838
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 133,935,741,350,838, is 1.
Now, the common factors can be found like this.
133:7x 19
935:5x 11x 17
741:3x 13x 19
350:2x 5x 5x 7
838:2x 419
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 7x 19 = 1330
Therefore, the value for common factors is 1330.
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 = 27026731231500/(1x1330)
LCM = 27026731231500/1330
LCM = 20320850550
Thus, we can understand that the LCM of 133,935,741,350,838 is 20320850550.
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FAQs on LCM of 133, 935, 741, 350, 838
1. What is the LCM of 133, 935, 741, 350, 838?
Answer: LCM of 133, 935, 741, 350, 838 is 20320850550.
2. How to calculate the LCM of 133, 935, 741, 350, 838?
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 133, 935, 741, 350, 838.
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}.