LCM of 508, 759, 133, 308, 855
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 508, 759, 133, 308, 855 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 508, 759, 133, 308, 855. So, keep reading to learn more.
Given numbers are 508,759,133,308,855
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 508,759,133,308,855 is 769216140.
Find LCM of 508,759,133,308,855 with Prime Factorization
| 2 | 508, 759, 133, 308, 855 |
| 2 | 254, 759, 133, 154, 855 |
| 3 | 127, 759, 133, 77, 855 |
| 7 | 127, 253, 133, 77, 285 |
| 11 | 127, 253, 19, 11, 285 |
| 19 | 127, 23, 19, 1, 285 |
| 127, 23, 1, 1, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 11 x 19 x 127 x 23 x 1 x 1 x 15 = 769216140
Therefore, the lowest common multiple of 508,759,133,308,855 is 769216140.
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.
508 x 759 x 133 x 308 x 855 = 13504358553840
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.
508 : 1, 2, 4, 127, 254, 508
759 : 1, 3, 11, 23, 33, 69, 253, 759
133 : 1, 7, 19, 133
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,759,133,308,855, is 1.
Now, the common factors can be found like this.
508:2x 2x 127
759:3x 11x 23
133:7x 19
308:2x 2x 7x 11
855:3x 3x 5x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 7x 11x 19 = 17556
Therefore, the value for common factors is 17556.
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 = 13504358553840/(1x17556)
LCM = 13504358553840/17556
LCM = 769216140
Thus, we can understand that the LCM of 508,759,133,308,855 is 769216140.
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FAQs on LCM of 508, 759, 133, 308, 855
1. What is the LCM of 508, 759, 133, 308, 855?
Answer: LCM of 508, 759, 133, 308, 855 is 769216140.
2. How to calculate the LCM of 508, 759, 133, 308, 855?
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 508, 759, 133, 308, 855.
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}.