LCM of 680, 386, 368, 510
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 680, 386, 368, 510 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 680, 386, 368, 510. So, keep reading to learn more.
Given numbers are 680,386,368,510
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 680,386,368,510 is 18111120.
Find LCM of 680,386,368,510 with Prime Factorization
| 2 | 680, 386, 368, 510 |
| 2 | 340, 193, 184, 255 |
| 2 | 170, 193, 92, 255 |
| 5 | 85, 193, 46, 255 |
| 17 | 17, 193, 46, 51 |
| 1, 193, 46, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 17 x 1 x 193 x 46 x 3 = 18111120
Therefore, the lowest common multiple of 680,386,368,510 is 18111120.
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.
680 x 386 x 368 x 510 = 49262246400
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.
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
386 : 1, 2, 193, 386
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 680,386,368,510, is 2.
Now, the common factors can be found like this.
680:2x 2x 2x 5x 17
386:2x 193
368:2x 2x 2x 2x 23
510:2x 3x 5x 17
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 5x 17 = 1360
Therefore, the value for common factors is 1360.
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 = 49262246400/(2x1360)
LCM = 49262246400/2720
LCM = 18111120
Thus, we can understand that the LCM of 680,386,368,510 is 18111120.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 680, 386, 368, 510
1. What is the LCM of 680, 386, 368, 510?
Answer: LCM of 680, 386, 368, 510 is 18111120.
2. How to calculate the LCM of 680, 386, 368, 510?
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 680, 386, 368, 510.
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}.