LCM of 388, 510, 905, 304, 618
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 388, 510, 905, 304, 618 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 388, 510, 905, 304, 618. So, keep reading to learn more.
Given numbers are 388,510,905,304,618
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 388,510,905,304,618 is 140184919920.
Find LCM of 388,510,905,304,618 with Prime Factorization
| 2 | 388, 510, 905, 304, 618 |
| 2 | 194, 255, 905, 152, 309 |
| 3 | 97, 255, 905, 76, 309 |
| 5 | 97, 85, 905, 76, 103 |
| 97, 17, 181, 76, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 97 x 17 x 181 x 76 x 103 = 140184919920
Therefore, the lowest common multiple of 388,510,905,304,618 is 140184919920.
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.
388 x 510 x 905 x 304 x 618 = 33644380780800
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.
388 : 1, 2, 4, 97, 194, 388
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
905 : 1, 5, 181, 905
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
618 : 1, 2, 3, 6, 103, 206, 309, 618
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 388,510,905,304,618, is 1.
Now, the common factors can be found like this.
388:2x 2x 97
510:2x 3x 5x 17
905:5x 181
304:2x 2x 2x 2x 19
618:2x 3x 103
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 3x 5 = 240
Therefore, the value for common factors is 240.
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 = 33644380780800/(1x240)
LCM = 33644380780800/240
LCM = 140184919920
Thus, we can understand that the LCM of 388,510,905,304,618 is 140184919920.
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FAQs on LCM of 388, 510, 905, 304, 618
1. What is the LCM of 388, 510, 905, 304, 618?
Answer: LCM of 388, 510, 905, 304, 618 is 140184919920.
2. How to calculate the LCM of 388, 510, 905, 304, 618?
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 388, 510, 905, 304, 618.
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}.