LCM of 510, 728, 847, 328
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 510, 728, 847, 328 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, 728, 847, 328. So, keep reading to learn more.
Given numbers are 510,728,847,328
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 510,728,847,328 is 920960040.
Find LCM of 510,728,847,328 with Prime Factorization
| 2 | 510, 728, 847, 328 |
| 2 | 255, 364, 847, 164 |
| 2 | 255, 182, 847, 82 |
| 7 | 255, 91, 847, 41 |
| 255, 13, 121, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 255 x 13 x 121 x 41 = 920960040
Therefore, the lowest common multiple of 510,728,847,328 is 920960040.
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 728 x 847 x 328 = 103147524480
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
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
847 : 1, 7, 11, 77, 121, 847
328 : 1, 2, 4, 8, 41, 82, 164, 328
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,728,847,328, is 1.
Now, the common factors can be found like this.
510:2x 3x 5x 17
728:2x 2x 2x 7x 13
847:7x 11x 11
328:2x 2x 2x 41
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 7 = 112
Therefore, the value for common factors is 112.
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 = 103147524480/(1x112)
LCM = 103147524480/112
LCM = 920960040
Thus, we can understand that the LCM of 510,728,847,328 is 920960040.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 510, 728, 847, 328
1. What is the LCM of 510, 728, 847, 328?
Answer: LCM of 510, 728, 847, 328 is 920960040.
2. How to calculate the LCM of 510, 728, 847, 328?
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, 728, 847, 328.
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}.