LCM of 717, 756, 950, 950, 281
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 717, 756, 950, 950, 281 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 717, 756, 950, 950, 281. So, keep reading to learn more.
Given numbers are 717,756,950,950,281
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 717,756,950,950,281 is 24116796900.
Find LCM of 717,756,950,950,281 with Prime Factorization
| 2 | 717, 756, 950, 950, 281 |
| 3 | 717, 378, 475, 475, 281 |
| 5 | 239, 126, 475, 475, 281 |
| 5 | 239, 126, 95, 95, 281 |
| 19 | 239, 126, 19, 19, 281 |
| 239, 126, 1, 1, 281 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 19 x 239 x 126 x 1 x 1 x 281 = 24116796900
Therefore, the lowest common multiple of 717,756,950,950,281 is 24116796900.
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.
717 x 756 x 950 x 950 x 281 = 137465742330000
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.
717 : 1, 3, 239, 717
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
281 : 1, 281
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,756,950,950,281, is 1.
Now, the common factors can be found like this.
717:3x 239
756:2x 2x 3x 3x 3x 7
950:2x 5x 5x 19
950:2x 5x 5x 19
281:281
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 3x 5x 5x 19 = 5700
Therefore, the value for common factors is 5700.
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 = 137465742330000/(1x5700)
LCM = 137465742330000/5700
LCM = 24116796900
Thus, we can understand that the LCM of 717,756,950,950,281 is 24116796900.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 717, 756, 950, 950, 281
1. What is the LCM of 717, 756, 950, 950, 281?
Answer: LCM of 717, 756, 950, 950, 281 is 24116796900.
2. How to calculate the LCM of 717, 756, 950, 950, 281?
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 717, 756, 950, 950, 281.
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}.