LCM of 519, 464, 226, 358, 288
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 519, 464, 226, 358, 288 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 519, 464, 226, 358, 288. So, keep reading to learn more.
Given numbers are 519,464,226,358,288
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 519,464,226,358,288 is 29225911392.
Find LCM of 519,464,226,358,288 with Prime Factorization
| 2 | 519, 464, 226, 358, 288 |
| 2 | 519, 232, 113, 179, 144 |
| 2 | 519, 116, 113, 179, 72 |
| 2 | 519, 58, 113, 179, 36 |
| 3 | 519, 29, 113, 179, 18 |
| 173, 29, 113, 179, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 173 x 29 x 113 x 179 x 6 = 29225911392
Therefore, the lowest common multiple of 519,464,226,358,288 is 29225911392.
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.
519 x 464 x 226 x 358 x 288 = 5611374987264
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.
519 : 1, 3, 173, 519
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
226 : 1, 2, 113, 226
358 : 1, 2, 179, 358
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 519,464,226,358,288, is 1.
Now, the common factors can be found like this.
519:3x 173
464:2x 2x 2x 2x 29
226:2x 113
358:2x 179
288:2x 2x 2x 2x 2x 3x 3
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 2x 2x 3 = 192
Therefore, the value for common factors is 192.
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 = 5611374987264/(1x192)
LCM = 5611374987264/192
LCM = 29225911392
Thus, we can understand that the LCM of 519,464,226,358,288 is 29225911392.
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FAQs on LCM of 519, 464, 226, 358, 288
1. What is the LCM of 519, 464, 226, 358, 288?
Answer: LCM of 519, 464, 226, 358, 288 is 29225911392.
2. How to calculate the LCM of 519, 464, 226, 358, 288?
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 519, 464, 226, 358, 288.
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}.