LCM of 305, 396, 618, 871, 976
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 305, 396, 618, 871, 976 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, 396, 618, 871, 976. So, keep reading to learn more.
Given numbers are 305,396,618,871,976
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 305,396,618,871,976 is 43342144560.
Find LCM of 305,396,618,871,976 with Prime Factorization
| 2 | 305, 396, 618, 871, 976 |
| 2 | 305, 198, 309, 871, 488 |
| 3 | 305, 99, 309, 871, 244 |
| 61 | 305, 33, 103, 871, 244 |
| 5, 33, 103, 871, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 61 x 5 x 33 x 103 x 871 x 4 = 43342144560
Therefore, the lowest common multiple of 305,396,618,871,976 is 43342144560.
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 396 x 618 x 871 x 976 = 63452899635840
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
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
618 : 1, 2, 3, 6, 103, 206, 309, 618
871 : 1, 13, 67, 871
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,396,618,871,976, is 1.
Now, the common factors can be found like this.
305:5x 61
396:2x 2x 3x 3x 11
618:2x 3x 103
871:13x 67
976:2x 2x 2x 2x 61
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 61 = 1464
Therefore, the value for common factors is 1464.
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 = 63452899635840/(1x1464)
LCM = 63452899635840/1464
LCM = 43342144560
Thus, we can understand that the LCM of 305,396,618,871,976 is 43342144560.
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FAQs on LCM of 305, 396, 618, 871, 976
1. What is the LCM of 305, 396, 618, 871, 976?
Answer: LCM of 305, 396, 618, 871, 976 is 43342144560.
2. How to calculate the LCM of 305, 396, 618, 871, 976?
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, 396, 618, 871, 976.
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}.