LCM of 507, 510, 310, 918, 682
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 507, 510, 310, 918, 682 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 507, 510, 310, 918, 682. So, keep reading to learn more.
Given numbers are 507,510,310,918,682
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 507,510,310,918,682 is 264517110.
Find LCM of 507,510,310,918,682 with Prime Factorization
| 2 | 507, 510, 310, 918, 682 |
| 3 | 507, 255, 155, 459, 341 |
| 5 | 169, 85, 155, 153, 341 |
| 17 | 169, 17, 31, 153, 341 |
| 31 | 169, 1, 31, 9, 341 |
| 169, 1, 1, 9, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 31 x 169 x 1 x 1 x 9 x 11 = 264517110
Therefore, the lowest common multiple of 507,510,310,918,682 is 264517110.
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.
507 x 510 x 310 x 918 x 682 = 50184186109200
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.
507 : 1, 3, 13, 39, 169, 507
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
310 : 1, 2, 5, 10, 31, 62, 155, 310
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
682 : 1, 2, 11, 22, 31, 62, 341, 682
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,510,310,918,682, is 1.
Now, the common factors can be found like this.
507:3x 13x 13
510:2x 3x 5x 17
310:2x 5x 31
918:2x 3x 3x 3x 17
682:2x 11x 31
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 2x 3x 3x 5x 17x 31 = 189720
Therefore, the value for common factors is 189720.
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 = 50184186109200/(1x189720)
LCM = 50184186109200/189720
LCM = 264517110
Thus, we can understand that the LCM of 507,510,310,918,682 is 264517110.
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FAQs on LCM of 507, 510, 310, 918, 682
1. What is the LCM of 507, 510, 310, 918, 682?
Answer: LCM of 507, 510, 310, 918, 682 is 264517110.
2. How to calculate the LCM of 507, 510, 310, 918, 682?
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 507, 510, 310, 918, 682.
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}.