LCM of 538, 579, 450, 785, 950
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 538, 579, 450, 785, 950 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 538, 579, 450, 785, 950. So, keep reading to learn more.
Given numbers are 538,579,450,785,950
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 538,579,450,785,950 is 69690784950.
Find LCM of 538,579,450,785,950 with Prime Factorization
| 2 | 538, 579, 450, 785, 950 |
| 3 | 269, 579, 225, 785, 475 |
| 5 | 269, 193, 75, 785, 475 |
| 5 | 269, 193, 15, 157, 95 |
| 269, 193, 3, 157, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 269 x 193 x 3 x 157 x 19 = 69690784950
Therefore, the lowest common multiple of 538,579,450,785,950 is 69690784950.
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.
538 x 579 x 450 x 785 x 950 = 104536177425000
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.
538 : 1, 2, 269, 538
579 : 1, 3, 193, 579
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
785 : 1, 5, 157, 785
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,579,450,785,950, is 1.
Now, the common factors can be found like this.
538:2x 269
579:3x 193
450:2x 3x 3x 5x 5
785:5x 157
950:2x 5x 5x 19
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 5 = 1500
Therefore, the value for common factors is 1500.
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 = 104536177425000/(1x1500)
LCM = 104536177425000/1500
LCM = 69690784950
Thus, we can understand that the LCM of 538,579,450,785,950 is 69690784950.
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FAQs on LCM of 538, 579, 450, 785, 950
1. What is the LCM of 538, 579, 450, 785, 950?
Answer: LCM of 538, 579, 450, 785, 950 is 69690784950.
2. How to calculate the LCM of 538, 579, 450, 785, 950?
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 538, 579, 450, 785, 950.
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}.