LCM of 715, 663, 750, 675
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 715, 663, 750, 675 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 715, 663, 750, 675. So, keep reading to learn more.
Given numbers are 715,663,750,675
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 715,663,750,675 is 16409250.
Find LCM of 715,663,750,675 with Prime Factorization
| 3 | 715, 663, 750, 675 |
| 5 | 715, 221, 250, 225 |
| 5 | 143, 221, 50, 45 |
| 13 | 143, 221, 10, 9 |
| 11, 17, 10, 9 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 5 x 13 x 11 x 17 x 10 x 9 = 16409250
Therefore, the lowest common multiple of 715,663,750,675 is 16409250.
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.
715 x 663 x 750 x 675 = 239985281250
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.
715 : 1, 5, 11, 13, 55, 65, 143, 715
663 : 1, 3, 13, 17, 39, 51, 221, 663
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,663,750,675, is 1.
Now, the common factors can be found like this.
715:5x 11x 13
663:3x 13x 17
750:2x 3x 5x 5x 5
675:3x 3x 3x 5x 5
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 5x 5x 5x 13 = 14625
Therefore, the value for common factors is 14625.
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 = 239985281250/(1x14625)
LCM = 239985281250/14625
LCM = 16409250
Thus, we can understand that the LCM of 715,663,750,675 is 16409250.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 715, 663, 750, 675
1. What is the LCM of 715, 663, 750, 675?
Answer: LCM of 715, 663, 750, 675 is 16409250.
2. How to calculate the LCM of 715, 663, 750, 675?
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 715, 663, 750, 675.
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}.