LCM of 473, 687, 750, 529, 510
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 473, 687, 750, 529, 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 473, 687, 750, 529, 510. So, keep reading to learn more.
Given numbers are 473,687,750,529,510
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 473,687,750,529,510 is 730571085750.
Find LCM of 473,687,750,529,510 with Prime Factorization
| 2 | 473, 687, 750, 529, 510 |
| 3 | 473, 687, 375, 529, 255 |
| 5 | 473, 229, 125, 529, 85 |
| 473, 229, 25, 529, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 473 x 229 x 25 x 529 x 17 = 730571085750
Therefore, the lowest common multiple of 473,687,750,529,510 is 730571085750.
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.
473 x 687 x 750 x 529 x 510 = 65751397717500
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.
473 : 1, 11, 43, 473
687 : 1, 3, 229, 687
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
529 : 1, 23, 529
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 473,687,750,529,510, is 1.
Now, the common factors can be found like this.
473:11x 43
687:3x 229
750:2x 3x 5x 5x 5
529:23x 23
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 3x 3x 5 = 90
Therefore, the value for common factors is 90.
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 = 65751397717500/(1x90)
LCM = 65751397717500/90
LCM = 730571085750
Thus, we can understand that the LCM of 473,687,750,529,510 is 730571085750.
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FAQs on LCM of 473, 687, 750, 529, 510
1. What is the LCM of 473, 687, 750, 529, 510?
Answer: LCM of 473, 687, 750, 529, 510 is 730571085750.
2. How to calculate the LCM of 473, 687, 750, 529, 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 473, 687, 750, 529, 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}.