LCM of 750, 305, 597, 986, 290
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 750, 305, 597, 986, 290 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 750, 305, 597, 986, 290. So, keep reading to learn more.
Given numbers are 750,305,597,986,290
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 750,305,597,986,290 is 4488395250.
Find LCM of 750,305,597,986,290 with Prime Factorization
| 2 | 750, 305, 597, 986, 290 |
| 3 | 375, 305, 597, 493, 145 |
| 5 | 125, 305, 199, 493, 145 |
| 29 | 25, 61, 199, 493, 29 |
| 25, 61, 199, 17, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 29 x 25 x 61 x 199 x 17 x 1 = 4488395250
Therefore, the lowest common multiple of 750,305,597,986,290 is 4488395250.
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.
750 x 305 x 597 x 986 x 290 = 39049038675000
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.
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
305 : 1, 5, 61, 305
597 : 1, 3, 199, 597
986 : 1, 2, 17, 29, 34, 58, 493, 986
290 : 1, 2, 5, 10, 29, 58, 145, 290
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 750,305,597,986,290, is 1.
Now, the common factors can be found like this.
750:2x 3x 5x 5x 5
305:5x 61
597:3x 199
986:2x 17x 29
290:2x 5x 29
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 29 = 8700
Therefore, the value for common factors is 8700.
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 = 39049038675000/(1x8700)
LCM = 39049038675000/8700
LCM = 4488395250
Thus, we can understand that the LCM of 750,305,597,986,290 is 4488395250.
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FAQs on LCM of 750, 305, 597, 986, 290
1. What is the LCM of 750, 305, 597, 986, 290?
Answer: LCM of 750, 305, 597, 986, 290 is 4488395250.
2. How to calculate the LCM of 750, 305, 597, 986, 290?
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 750, 305, 597, 986, 290.
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}.