LCM of 330, 660, 785, 935, 137
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 330, 660, 785, 935, 137 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 330, 660, 785, 935, 137. So, keep reading to learn more.
Given numbers are 330,660,785,935,137
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 330,660,785,935,137 is 241330980.
Find LCM of 330,660,785,935,137 with Prime Factorization
| 2 | 330, 660, 785, 935, 137 |
| 3 | 165, 330, 785, 935, 137 |
| 5 | 55, 110, 785, 935, 137 |
| 11 | 11, 22, 157, 187, 137 |
| 1, 2, 157, 17, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 1 x 2 x 157 x 17 x 137 = 241330980
Therefore, the lowest common multiple of 330,660,785,935,137 is 241330980.
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.
330 x 660 x 785 x 935 x 137 = 21900786435000
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.
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
785 : 1, 5, 157, 785
935 : 1, 5, 11, 17, 55, 85, 187, 935
137 : 1, 137
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,660,785,935,137, is 1.
Now, the common factors can be found like this.
330:2x 3x 5x 11
660:2x 2x 3x 5x 11
785:5x 157
935:5x 11x 17
137:137
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 5x 5x 5x 11x 11 = 90750
Therefore, the value for common factors is 90750.
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 = 21900786435000/(1x90750)
LCM = 21900786435000/90750
LCM = 241330980
Thus, we can understand that the LCM of 330,660,785,935,137 is 241330980.
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FAQs on LCM of 330, 660, 785, 935, 137
1. What is the LCM of 330, 660, 785, 935, 137?
Answer: LCM of 330, 660, 785, 935, 137 is 241330980.
2. How to calculate the LCM of 330, 660, 785, 935, 137?
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 330, 660, 785, 935, 137.
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}.