LCM of 292, 522, 928, 270, 699
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 292, 522, 928, 270, 699 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 292, 522, 928, 270, 699. So, keep reading to learn more.
Given numbers are 292,522,928,270,699
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 292,522,928,270,699 is 2130887520.
Find LCM of 292,522,928,270,699 with Prime Factorization
| 2 | 292, 522, 928, 270, 699 |
| 2 | 146, 261, 464, 135, 699 |
| 3 | 73, 261, 232, 135, 699 |
| 3 | 73, 87, 232, 45, 233 |
| 29 | 73, 29, 232, 15, 233 |
| 73, 1, 8, 15, 233 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 29 x 73 x 1 x 8 x 15 x 233 = 2130887520
Therefore, the lowest common multiple of 292,522,928,270,699 is 2130887520.
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.
292 x 522 x 928 x 270 x 699 = 26695758850560
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.
292 : 1, 2, 4, 73, 146, 292
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
699 : 1, 3, 233, 699
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 292,522,928,270,699, is 1.
Now, the common factors can be found like this.
292:2x 2x 73
522:2x 3x 3x 29
928:2x 2x 2x 2x 2x 29
270:2x 3x 3x 3x 5
699:3x 233
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 3x 3x 3x 29 = 12528
Therefore, the value for common factors is 12528.
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 = 26695758850560/(1x12528)
LCM = 26695758850560/12528
LCM = 2130887520
Thus, we can understand that the LCM of 292,522,928,270,699 is 2130887520.
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FAQs on LCM of 292, 522, 928, 270, 699
1. What is the LCM of 292, 522, 928, 270, 699?
Answer: LCM of 292, 522, 928, 270, 699 is 2130887520.
2. How to calculate the LCM of 292, 522, 928, 270, 699?
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 292, 522, 928, 270, 699.
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}.