LCM of 107, 411, 874, 304, 431
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 107, 411, 874, 304, 431 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 107, 411, 874, 304, 431. So, keep reading to learn more.
Given numbers are 107,411,874,304,431
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 107,411,874,304,431 is 132526976304.
Find LCM of 107,411,874,304,431 with Prime Factorization
| 2 | 107, 411, 874, 304, 431 |
| 19 | 107, 411, 437, 152, 431 |
| 107, 411, 23, 8, 431 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 107 x 411 x 23 x 8 x 431 = 132526976304
Therefore, the lowest common multiple of 107,411,874,304,431 is 132526976304.
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.
107 x 411 x 874 x 304 x 431 = 5036025099552
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.
107 : 1, 107
411 : 1, 3, 137, 411
874 : 1, 2, 19, 23, 38, 46, 437, 874
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
431 : 1, 431
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,411,874,304,431, is 1.
Now, the common factors can be found like this.
107:107
411:3x 137
874:2x 19x 23
304:2x 2x 2x 2x 19
431:431
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 19 = 38
Therefore, the value for common factors is 38.
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 = 5036025099552/(1x38)
LCM = 5036025099552/38
LCM = 132526976304
Thus, we can understand that the LCM of 107,411,874,304,431 is 132526976304.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 107, 411, 874, 304, 431
1. What is the LCM of 107, 411, 874, 304, 431?
Answer: LCM of 107, 411, 874, 304, 431 is 132526976304.
2. How to calculate the LCM of 107, 411, 874, 304, 431?
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 107, 411, 874, 304, 431.
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}.