LCM of 307, 510, 861, 230, 575
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 307, 510, 861, 230, 575 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 307, 510, 861, 230, 575. So, keep reading to learn more.
Given numbers are 307,510,861,230,575
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 307,510,861,230,575 is 5167592850.
Find LCM of 307,510,861,230,575 with Prime Factorization
| 2 | 307, 510, 861, 230, 575 |
| 3 | 307, 255, 861, 115, 575 |
| 5 | 307, 85, 287, 115, 575 |
| 23 | 307, 17, 287, 23, 115 |
| 307, 17, 287, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 23 x 307 x 17 x 287 x 1 x 5 = 5167592850
Therefore, the lowest common multiple of 307,510,861,230,575 is 5167592850.
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.
307 x 510 x 861 x 230 x 575 = 17828195332500
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.
307 : 1, 307
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
861 : 1, 3, 7, 21, 41, 123, 287, 861
230 : 1, 2, 5, 10, 23, 46, 115, 230
575 : 1, 5, 23, 25, 115, 575
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 307,510,861,230,575, is 1.
Now, the common factors can be found like this.
307:307
510:2x 3x 5x 17
861:3x 7x 41
230:2x 5x 23
575:5x 5x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 5x 23 = 3450
Therefore, the value for common factors is 3450.
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 = 17828195332500/(1x3450)
LCM = 17828195332500/3450
LCM = 5167592850
Thus, we can understand that the LCM of 307,510,861,230,575 is 5167592850.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 307, 510, 861, 230, 575
1. What is the LCM of 307, 510, 861, 230, 575?
Answer: LCM of 307, 510, 861, 230, 575 is 5167592850.
2. How to calculate the LCM of 307, 510, 861, 230, 575?
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 307, 510, 861, 230, 575.
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}.