LCM of 510, 750, 876, 902, 838
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 510, 750, 876, 902, 838 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, 750, 876, 902, 838. So, keep reading to learn more.
Given numbers are 510,750,876,902,838
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 510,750,876,902,838 is 351765793500.
Find LCM of 510,750,876,902,838 with Prime Factorization
| 2 | 510, 750, 876, 902, 838 |
| 3 | 255, 375, 438, 451, 419 |
| 5 | 85, 125, 146, 451, 419 |
| 17, 25, 146, 451, 419 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 25 x 146 x 451 x 419 = 351765793500
Therefore, the lowest common multiple of 510,750,876,902,838 is 351765793500.
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 750 x 876 x 902 x 838 = 253271371320000
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
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
902 : 1, 2, 11, 22, 41, 82, 451, 902
838 : 1, 2, 419, 838
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,750,876,902,838, is 2.
Now, the common factors can be found like this.
510:2x 3x 5x 17
750:2x 3x 5x 5x 5
876:2x 2x 3x 73
902:2x 11x 41
838:2x 419
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 3x 5 = 360
Therefore, the value for common factors is 360.
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 = 253271371320000/(2x360)
LCM = 253271371320000/720
LCM = 351765793500
Thus, we can understand that the LCM of 510,750,876,902,838 is 351765793500.
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FAQs on LCM of 510, 750, 876, 902, 838
1. What is the LCM of 510, 750, 876, 902, 838?
Answer: LCM of 510, 750, 876, 902, 838 is 351765793500.
2. How to calculate the LCM of 510, 750, 876, 902, 838?
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, 750, 876, 902, 838.
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}.