LCM of 305, 393, 418, 252, 875
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 305, 393, 418, 252, 875 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 305, 393, 418, 252, 875. So, keep reading to learn more.
Given numbers are 305,393,418,252,875
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 305,393,418,252,875 is 52608748500.
Find LCM of 305,393,418,252,875 with Prime Factorization
| 2 | 305, 393, 418, 252, 875 |
| 3 | 305, 393, 209, 126, 875 |
| 5 | 305, 131, 209, 42, 875 |
| 7 | 61, 131, 209, 42, 175 |
| 61, 131, 209, 6, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 61 x 131 x 209 x 6 x 25 = 52608748500
Therefore, the lowest common multiple of 305,393,418,252,875 is 52608748500.
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.
305 x 393 x 418 x 252 x 875 = 11047837185000
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.
305 : 1, 5, 61, 305
393 : 1, 3, 131, 393
418 : 1, 2, 11, 19, 22, 38, 209, 418
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
875 : 1, 5, 7, 25, 35, 125, 175, 875
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,393,418,252,875, is 1.
Now, the common factors can be found like this.
305:5x 61
393:3x 131
418:2x 11x 19
252:2x 2x 3x 3x 7
875:5x 5x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 7 = 210
Therefore, the value for common factors is 210.
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 = 11047837185000/(1x210)
LCM = 11047837185000/210
LCM = 52608748500
Thus, we can understand that the LCM of 305,393,418,252,875 is 52608748500.
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FAQs on LCM of 305, 393, 418, 252, 875
1. What is the LCM of 305, 393, 418, 252, 875?
Answer: LCM of 305, 393, 418, 252, 875 is 52608748500.
2. How to calculate the LCM of 305, 393, 418, 252, 875?
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 305, 393, 418, 252, 875.
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}.