Find the LCM of 828, 392, 524, 957, 371 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 828, 392, 524, 957, 371. So, keep reading to learn more.
Given numbers are 828,392,524,957,371
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 828,392,524,957,371 is 179719110648.
Find LCM of 828,392,524,957,371 with Prime Factorization
2 | 828, 392, 524, 957, 371 |
2 | 414, 196, 262, 957, 371 |
3 | 207, 98, 131, 957, 371 |
7 | 69, 98, 131, 319, 371 |
69, 14, 131, 319, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 69 x 14 x 131 x 319 x 53 = 179719110648
Therefore, the lowest common multiple of 828,392,524,957,371 is 179719110648.
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.
828 x 392 x 524 x 957 x 371 = 60385621177728
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.
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
524 : 1, 2, 4, 131, 262, 524
957 : 1, 3, 11, 29, 33, 87, 319, 957
371 : 1, 7, 53, 371
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,392,524,957,371, is 1.
Now, the common factors can be found like this.
828:2x 2x 3x 3x 23
392:2x 2x 2x 7x 7
524:2x 2x 131
957:3x 11x 29
371:7x 53
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 7 = 336
Therefore, the value for common factors is 336.
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 = 60385621177728/(1x336)
LCM = 60385621177728/336
LCM = 179719110648
Thus, we can understand that the LCM of 828,392,524,957,371 is 179719110648.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 828, 392, 524, 957, 371?
Answer: LCM of 828, 392, 524, 957, 371 is 179719110648.
2. How to calculate the LCM of 828, 392, 524, 957, 371?
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 828, 392, 524, 957, 371.
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}.