LCM of 646, 319, 969, 649
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 646, 319, 969, 649 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 646, 319, 969, 649. So, keep reading to learn more.
Given numbers are 646,319,969,649
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 646,319,969,649 is 36475098.
Find LCM of 646,319,969,649 with Prime Factorization
| 11 | 646, 319, 969, 649 |
| 17 | 646, 29, 969, 59 |
| 19 | 38, 29, 57, 59 |
| 2, 29, 3, 59 |
Multiply the prime numbers at the bottom and the left side.
11 x 17 x 19 x 2 x 29 x 3 x 59 = 36475098
Therefore, the lowest common multiple of 646,319,969,649 is 36475098.
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.
646 x 319 x 969 x 649 = 129596023194
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.
646 : 1, 2, 17, 19, 34, 38, 323, 646
319 : 1, 11, 29, 319
969 : 1, 3, 17, 19, 51, 57, 323, 969
649 : 1, 11, 59, 649
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 646,319,969,649, is 1.
Now, the common factors can be found like this.
646:2x 17x 19
319:11x 29
969:3x 17x 19
649:11x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 17x 19 = 3553
Therefore, the value for common factors is 3553.
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 = 129596023194/(1x3553)
LCM = 129596023194/3553
LCM = 36475098
Thus, we can understand that the LCM of 646,319,969,649 is 36475098.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 646, 319, 969, 649
1. What is the LCM of 646, 319, 969, 649?
Answer: LCM of 646, 319, 969, 649 is 36475098.
2. How to calculate the LCM of 646, 319, 969, 649?
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 646, 319, 969, 649.
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}.