LCM of 510, 878, 638, 327, 704
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 510, 878, 638, 327, 704 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 510, 878, 638, 327, 704. So, keep reading to learn more.
Given numbers are 510,878,638,327,704
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 510,878,638,327,704 is 249116134080.
Find LCM of 510,878,638,327,704 with Prime Factorization
| 2 | 510, 878, 638, 327, 704 |
| 3 | 255, 439, 319, 327, 352 |
| 11 | 85, 439, 319, 109, 352 |
| 85, 439, 29, 109, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 85 x 439 x 29 x 109 x 32 = 249116134080
Therefore, the lowest common multiple of 510,878,638,327,704 is 249116134080.
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.
510 x 878 x 638 x 327 x 704 = 65766659397120
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.
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
878 : 1, 2, 439, 878
638 : 1, 2, 11, 22, 29, 58, 319, 638
327 : 1, 3, 109, 327
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,878,638,327,704, is 1.
Now, the common factors can be found like this.
510:2x 3x 5x 17
878:2x 439
638:2x 11x 29
327:3x 109
704:2x 2x 2x 2x 2x 2x 11
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 3x 11 = 264
Therefore, the value for common factors is 264.
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 = 65766659397120/(1x264)
LCM = 65766659397120/264
LCM = 249116134080
Thus, we can understand that the LCM of 510,878,638,327,704 is 249116134080.
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FAQs on LCM of 510, 878, 638, 327, 704
1. What is the LCM of 510, 878, 638, 327, 704?
Answer: LCM of 510, 878, 638, 327, 704 is 249116134080.
2. How to calculate the LCM of 510, 878, 638, 327, 704?
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 510, 878, 638, 327, 704.
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}.