LCM of 520, 512, 754, 319
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 520, 512, 754, 319 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 520, 512, 754, 319. So, keep reading to learn more.
Given numbers are 520,512,754,319
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 520,512,754,319 is 10616320.
Find LCM of 520,512,754,319 with Prime Factorization
| 2 | 520, 512, 754, 319 |
| 2 | 260, 256, 377, 319 |
| 2 | 130, 128, 377, 319 |
| 13 | 65, 64, 377, 319 |
| 29 | 5, 64, 29, 319 |
| 5, 64, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 29 x 5 x 64 x 1 x 11 = 10616320
Therefore, the lowest common multiple of 520,512,754,319 is 10616320.
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.
520 x 512 x 754 x 319 = 64037642240
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.
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
754 : 1, 2, 13, 26, 29, 58, 377, 754
319 : 1, 11, 29, 319
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 520,512,754,319, is 1.
Now, the common factors can be found like this.
520:2x 2x 2x 5x 13
512:2x 2x 2x 2x 2x 2x 2x 2x 2
754:2x 13x 29
319:11x 29
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 2x 2x 13x 29 = 6032
Therefore, the value for common factors is 6032.
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 = 64037642240/(1x6032)
LCM = 64037642240/6032
LCM = 10616320
Thus, we can understand that the LCM of 520,512,754,319 is 10616320.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 520, 512, 754, 319
1. What is the LCM of 520, 512, 754, 319?
Answer: LCM of 520, 512, 754, 319 is 10616320.
2. How to calculate the LCM of 520, 512, 754, 319?
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 520, 512, 754, 319.
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}.