LCM of 979, 221, 527, 385, 847
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 979, 221, 527, 385, 847 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 979, 221, 527, 385, 847. So, keep reading to learn more.
Given numbers are 979,221,527,385,847
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 979,221,527,385,847 is 2582244665.
Find LCM of 979,221,527,385,847 with Prime Factorization
| 7 | 979, 221, 527, 385, 847 |
| 11 | 979, 221, 527, 55, 121 |
| 17 | 89, 221, 527, 5, 11 |
| 89, 13, 31, 5, 11 |
Multiply the prime numbers at the bottom and the left side.
7 x 11 x 17 x 89 x 13 x 31 x 5 x 11 = 2582244665
Therefore, the lowest common multiple of 979,221,527,385,847 is 2582244665.
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.
979 x 221 x 527 x 385 x 847 = 37181740931335
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.
979 : 1, 11, 89, 979
221 : 1, 13, 17, 221
527 : 1, 17, 31, 527
385 : 1, 5, 7, 11, 35, 55, 77, 385
847 : 1, 7, 11, 77, 121, 847
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,221,527,385,847, is 1.
Now, the common factors can be found like this.
979:11x 89
221:13x 17
527:17x 31
385:5x 7x 11
847:7x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 11x 11x 17 = 14399
Therefore, the value for common factors is 14399.
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 = 37181740931335/(1x14399)
LCM = 37181740931335/14399
LCM = 2582244665
Thus, we can understand that the LCM of 979,221,527,385,847 is 2582244665.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 979, 221, 527, 385, 847
1. What is the LCM of 979, 221, 527, 385, 847?
Answer: LCM of 979, 221, 527, 385, 847 is 2582244665.
2. How to calculate the LCM of 979, 221, 527, 385, 847?
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 979, 221, 527, 385, 847.
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}.