LCM of 979, 295, 649, 485, 419
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 979, 295, 649, 485, 419 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, 295, 649, 485, 419. So, keep reading to learn more.
Given numbers are 979,295,649,485,419
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 979,295,649,485,419 is 11737901615.
Find LCM of 979,295,649,485,419 with Prime Factorization
| 5 | 979, 295, 649, 485, 419 |
| 11 | 979, 59, 649, 97, 419 |
| 59 | 89, 59, 59, 97, 419 |
| 89, 1, 1, 97, 419 |
Multiply the prime numbers at the bottom and the left side.
5 x 11 x 59 x 89 x 1 x 1 x 97 x 419 = 11737901615
Therefore, the lowest common multiple of 979,295,649,485,419 is 11737901615.
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 295 x 649 x 485 x 419 = 38089490740675
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
295 : 1, 5, 59, 295
649 : 1, 11, 59, 649
485 : 1, 5, 97, 485
419 : 1, 419
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,295,649,485,419, is 1.
Now, the common factors can be found like this.
979:11x 89
295:5x 59
649:11x 59
485:5x 97
419:419
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 11x 59 = 3245
Therefore, the value for common factors is 3245.
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 = 38089490740675/(1x3245)
LCM = 38089490740675/3245
LCM = 11737901615
Thus, we can understand that the LCM of 979,295,649,485,419 is 11737901615.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 979, 295, 649, 485, 419
1. What is the LCM of 979, 295, 649, 485, 419?
Answer: LCM of 979, 295, 649, 485, 419 is 11737901615.
2. How to calculate the LCM of 979, 295, 649, 485, 419?
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, 295, 649, 485, 419.
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}.