LCM of 510, 382, 410, 731
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 510, 382, 410, 731 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 510, 382, 410, 731. So, keep reading to learn more.
Given numbers are 510,382,410,731
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 510,382,410,731 is 171733830.
Find LCM of 510,382,410,731 with Prime Factorization
| 2 | 510, 382, 410, 731 |
| 5 | 255, 191, 205, 731 |
| 17 | 51, 191, 41, 731 |
| 3, 191, 41, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 3 x 191 x 41 x 43 = 171733830
Therefore, the lowest common multiple of 510,382,410,731 is 171733830.
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.
510 x 382 x 410 x 731 = 58389502200
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.
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
382 : 1, 2, 191, 382
410 : 1, 2, 5, 10, 41, 82, 205, 410
731 : 1, 17, 43, 731
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,382,410,731, is 1.
Now, the common factors can be found like this.
510:2x 3x 5x 17
382:2x 191
410:2x 5x 41
731:17x 43
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 5x 17 = 340
Therefore, the value for common factors is 340.
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 = 58389502200/(1x340)
LCM = 58389502200/340
LCM = 171733830
Thus, we can understand that the LCM of 510,382,410,731 is 171733830.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 510, 382, 410, 731
1. What is the LCM of 510, 382, 410, 731?
Answer: LCM of 510, 382, 410, 731 is 171733830.
2. How to calculate the LCM of 510, 382, 410, 731?
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 510, 382, 410, 731.
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}.