Find the LCM of 304, 510, 680, 703, 514 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 304, 510, 680, 703, 514. So, keep reading to learn more.
Given numbers are 304,510,680,703,514
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 304,510,680,703,514 is 737137680.
Find LCM of 304,510,680,703,514 with Prime Factorization
2 | 304, 510, 680, 703, 514 |
2 | 152, 255, 340, 703, 257 |
2 | 76, 255, 170, 703, 257 |
5 | 38, 255, 85, 703, 257 |
17 | 38, 51, 17, 703, 257 |
19 | 38, 3, 1, 703, 257 |
2, 3, 1, 37, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 17 x 19 x 2 x 3 x 1 x 37 x 257 = 737137680
Therefore, the lowest common multiple of 304,510,680,703,514 is 737137680.
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.
304 x 510 x 680 x 703 x 514 = 38095275302400
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.
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
703 : 1, 19, 37, 703
514 : 1, 2, 257, 514
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,510,680,703,514, is 1.
Now, the common factors can be found like this.
304:2x 2x 2x 2x 19
510:2x 3x 5x 17
680:2x 2x 2x 5x 17
703:19x 37
514:2x 257
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 2x 2x 5x 17x 19 = 51680
Therefore, the value for common factors is 51680.
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 = 38095275302400/(1x51680)
LCM = 38095275302400/51680
LCM = 737137680
Thus, we can understand that the LCM of 304,510,680,703,514 is 737137680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 304, 510, 680, 703, 514?
Answer: LCM of 304, 510, 680, 703, 514 is 737137680.
2. How to calculate the LCM of 304, 510, 680, 703, 514?
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 304, 510, 680, 703, 514.
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}.