LCM of 615, 815, 861, 750, 507
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 615, 815, 861, 750, 507 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 615, 815, 861, 750, 507. So, keep reading to learn more.
Given numbers are 615,815,861,750,507
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 615,815,861,750,507 is 5929491750.
Find LCM of 615,815,861,750,507 with Prime Factorization
| 3 | 615, 815, 861, 750, 507 |
| 5 | 205, 815, 287, 250, 169 |
| 41 | 41, 163, 287, 50, 169 |
| 1, 163, 7, 50, 169 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 41 x 1 x 163 x 7 x 50 x 169 = 5929491750
Therefore, the lowest common multiple of 615,815,861,750,507 is 5929491750.
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.
615 x 815 x 861 x 750 x 507 = 164098684181250
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.
615 : 1, 3, 5, 15, 41, 123, 205, 615
815 : 1, 5, 163, 815
861 : 1, 3, 7, 21, 41, 123, 287, 861
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
507 : 1, 3, 13, 39, 169, 507
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 615,815,861,750,507, is 1.
Now, the common factors can be found like this.
615:3x 5x 41
815:5x 163
861:3x 7x 41
750:2x 3x 5x 5x 5
507:3x 13x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 5x 5x 41 = 27675
Therefore, the value for common factors is 27675.
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 = 164098684181250/(1x27675)
LCM = 164098684181250/27675
LCM = 5929491750
Thus, we can understand that the LCM of 615,815,861,750,507 is 5929491750.
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FAQs on LCM of 615, 815, 861, 750, 507
1. What is the LCM of 615, 815, 861, 750, 507?
Answer: LCM of 615, 815, 861, 750, 507 is 5929491750.
2. How to calculate the LCM of 615, 815, 861, 750, 507?
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 615, 815, 861, 750, 507.
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}.