LCM of 984, 957, 715, 715, 321
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 984, 957, 715, 715, 321 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 984, 957, 715, 715, 321. So, keep reading to learn more.
Given numbers are 984,957,715,715,321
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 984,957,715,715,321 is 2183146680.
Find LCM of 984,957,715,715,321 with Prime Factorization
| 3 | 984, 957, 715, 715, 321 |
| 5 | 328, 319, 715, 715, 107 |
| 11 | 328, 319, 143, 143, 107 |
| 13 | 328, 29, 13, 13, 107 |
| 328, 29, 1, 1, 107 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 13 x 328 x 29 x 1 x 1 x 107 = 2183146680
Therefore, the lowest common multiple of 984,957,715,715,321 is 2183146680.
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.
984 x 957 x 715 x 715 x 321 = 154534037743800
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.
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
957 : 1, 3, 11, 29, 33, 87, 319, 957
715 : 1, 5, 11, 13, 55, 65, 143, 715
715 : 1, 5, 11, 13, 55, 65, 143, 715
321 : 1, 3, 107, 321
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 984,957,715,715,321, is 1.
Now, the common factors can be found like this.
984:2x 2x 2x 3x 41
957:3x 11x 29
715:5x 11x 13
715:5x 11x 13
321:3x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 11x 11x 13 = 70785
Therefore, the value for common factors is 70785.
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 = 154534037743800/(1x70785)
LCM = 154534037743800/70785
LCM = 2183146680
Thus, we can understand that the LCM of 984,957,715,715,321 is 2183146680.
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FAQs on LCM of 984, 957, 715, 715, 321
1. What is the LCM of 984, 957, 715, 715, 321?
Answer: LCM of 984, 957, 715, 715, 321 is 2183146680.
2. How to calculate the LCM of 984, 957, 715, 715, 321?
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 984, 957, 715, 715, 321.
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}.