LCM of 510, 634, 928, 951, 671
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 510, 634, 928, 951, 671 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, 634, 928, 951, 671. So, keep reading to learn more.
Given numbers are 510,634,928,951,671
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 510,634,928,951,671 is 50334984480.
Find LCM of 510,634,928,951,671 with Prime Factorization
| 2 | 510, 634, 928, 951, 671 |
| 3 | 255, 317, 464, 951, 671 |
| 317 | 85, 317, 464, 317, 671 |
| 85, 1, 464, 1, 671 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 317 x 85 x 1 x 464 x 1 x 671 = 50334984480
Therefore, the lowest common multiple of 510,634,928,951,671 is 50334984480.
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 634 x 928 x 951 x 671 = 191474280961920
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
634 : 1, 2, 317, 634
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
951 : 1, 3, 317, 951
671 : 1, 11, 61, 671
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,634,928,951,671, is 1.
Now, the common factors can be found like this.
510:2x 3x 5x 17
634:2x 317
928:2x 2x 2x 2x 2x 29
951:3x 317
671:11x 61
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 3x 317 = 3804
Therefore, the value for common factors is 3804.
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 = 191474280961920/(1x3804)
LCM = 191474280961920/3804
LCM = 50334984480
Thus, we can understand that the LCM of 510,634,928,951,671 is 50334984480.
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FAQs on LCM of 510, 634, 928, 951, 671
1. What is the LCM of 510, 634, 928, 951, 671?
Answer: LCM of 510, 634, 928, 951, 671 is 50334984480.
2. How to calculate the LCM of 510, 634, 928, 951, 671?
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, 634, 928, 951, 671.
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}.