LCM of 206, 730, 476, 923, 510
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 206, 730, 476, 923, 510 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 206, 730, 476, 923, 510. So, keep reading to learn more.
Given numbers are 206,730,476,923,510
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 206,730,476,923,510 is 49551864180.
Find LCM of 206,730,476,923,510 with Prime Factorization
| 2 | 206, 730, 476, 923, 510 |
| 5 | 103, 365, 238, 923, 255 |
| 17 | 103, 73, 238, 923, 51 |
| 103, 73, 14, 923, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 103 x 73 x 14 x 923 x 3 = 49551864180
Therefore, the lowest common multiple of 206,730,476,923,510 is 49551864180.
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.
206 x 730 x 476 x 923 x 510 = 33695267642400
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.
206 : 1, 2, 103, 206
730 : 1, 2, 5, 10, 73, 146, 365, 730
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
923 : 1, 13, 71, 923
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 206,730,476,923,510, is 1.
Now, the common factors can be found like this.
206:2x 103
730:2x 5x 73
476:2x 2x 7x 17
923:13x 71
510:2x 3x 5x 17
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 5x 17 = 680
Therefore, the value for common factors is 680.
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 = 33695267642400/(1x680)
LCM = 33695267642400/680
LCM = 49551864180
Thus, we can understand that the LCM of 206,730,476,923,510 is 49551864180.
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FAQs on LCM of 206, 730, 476, 923, 510
1. What is the LCM of 206, 730, 476, 923, 510?
Answer: LCM of 206, 730, 476, 923, 510 is 49551864180.
2. How to calculate the LCM of 206, 730, 476, 923, 510?
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 206, 730, 476, 923, 510.
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}.