LCM of 682, 198, 769, 783
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 682, 198, 769, 783 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 682, 198, 769, 783. So, keep reading to learn more.
Given numbers are 682,198,769,783
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,198,769,783 is 410650614.
Find LCM of 682,198,769,783 with Prime Factorization
| 2 | 682, 198, 769, 783 |
| 3 | 341, 99, 769, 783 |
| 3 | 341, 33, 769, 261 |
| 11 | 341, 11, 769, 87 |
| 31, 1, 769, 87 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 31 x 1 x 769 x 87 = 410650614
Therefore, the lowest common multiple of 682,198,769,783 is 410650614.
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.
682 x 198 x 769 x 783 = 81308821572
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.
682 : 1, 2, 11, 22, 31, 62, 341, 682
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
769 : 1, 769
783 : 1, 3, 9, 27, 29, 87, 261, 783
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,198,769,783, is 1.
Now, the common factors can be found like this.
682:2x 11x 31
198:2x 3x 3x 11
769:769
783:3x 3x 3x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 11 = 198
Therefore, the value for common factors is 198.
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 = 81308821572/(1x198)
LCM = 81308821572/198
LCM = 410650614
Thus, we can understand that the LCM of 682,198,769,783 is 410650614.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 682, 198, 769, 783
1. What is the LCM of 682, 198, 769, 783?
Answer: LCM of 682, 198, 769, 783 is 410650614.
2. How to calculate the LCM of 682, 198, 769, 783?
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 682, 198, 769, 783.
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}.