LCM of 657, 979, 803, 306, 433
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 657, 979, 803, 306, 433 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 657, 979, 803, 306, 433. So, keep reading to learn more.
Given numbers are 657,979,803,306,433
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 657,979,803,306,433 is 9469234566.
Find LCM of 657,979,803,306,433 with Prime Factorization
| 3 | 657, 979, 803, 306, 433 |
| 3 | 219, 979, 803, 102, 433 |
| 11 | 73, 979, 803, 34, 433 |
| 73 | 73, 89, 73, 34, 433 |
| 1, 89, 1, 34, 433 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 11 x 73 x 1 x 89 x 1 x 34 x 433 = 9469234566
Therefore, the lowest common multiple of 657,979,803,306,433 is 9469234566.
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.
657 x 979 x 803 x 306 x 433 = 68434158208482
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.
657 : 1, 3, 9, 73, 219, 657
979 : 1, 11, 89, 979
803 : 1, 11, 73, 803
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
433 : 1, 433
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 657,979,803,306,433, is 1.
Now, the common factors can be found like this.
657:3x 3x 73
979:11x 89
803:11x 73
306:2x 3x 3x 17
433:433
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 11x 73 = 7227
Therefore, the value for common factors is 7227.
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 = 68434158208482/(1x7227)
LCM = 68434158208482/7227
LCM = 9469234566
Thus, we can understand that the LCM of 657,979,803,306,433 is 9469234566.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 657, 979, 803, 306, 433
1. What is the LCM of 657, 979, 803, 306, 433?
Answer: LCM of 657, 979, 803, 306, 433 is 9469234566.
2. How to calculate the LCM of 657, 979, 803, 306, 433?
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 657, 979, 803, 306, 433.
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}.