LCM of 519, 175, 450, 760, 266
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 519, 175, 450, 760, 266 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 519, 175, 450, 760, 266. So, keep reading to learn more.
Given numbers are 519,175,450,760,266
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 519,175,450,760,266 is 41416200.
Find LCM of 519,175,450,760,266 with Prime Factorization
| 2 | 519, 175, 450, 760, 266 |
| 3 | 519, 175, 225, 380, 133 |
| 5 | 173, 175, 75, 380, 133 |
| 5 | 173, 35, 15, 76, 133 |
| 7 | 173, 7, 3, 76, 133 |
| 19 | 173, 1, 3, 76, 19 |
| 173, 1, 3, 4, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 7 x 19 x 173 x 1 x 3 x 4 x 1 = 41416200
Therefore, the lowest common multiple of 519,175,450,760,266 is 41416200.
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.
519 x 175 x 450 x 760 x 266 = 8262531900000
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.
519 : 1, 3, 173, 519
175 : 1, 5, 7, 25, 35, 175
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
266 : 1, 2, 7, 14, 19, 38, 133, 266
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 519,175,450,760,266, is 1.
Now, the common factors can be found like this.
519:3x 173
175:5x 5x 7
450:2x 3x 3x 5x 5
760:2x 2x 2x 5x 19
266:2x 7x 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 5x 7x 19 = 199500
Therefore, the value for common factors is 199500.
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 = 8262531900000/(1x199500)
LCM = 8262531900000/199500
LCM = 41416200
Thus, we can understand that the LCM of 519,175,450,760,266 is 41416200.
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FAQs on LCM of 519, 175, 450, 760, 266
1. What is the LCM of 519, 175, 450, 760, 266?
Answer: LCM of 519, 175, 450, 760, 266 is 41416200.
2. How to calculate the LCM of 519, 175, 450, 760, 266?
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 519, 175, 450, 760, 266.
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}.