LCM of 783, 926, 738, 492, 682
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 783, 926, 738, 492, 682 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 783, 926, 738, 492, 682. So, keep reading to learn more.
Given numbers are 783,926,738,492,682
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 783,926,738,492,682 is 20274071796.
Find LCM of 783,926,738,492,682 with Prime Factorization
| 2 | 783, 926, 738, 492, 682 |
| 3 | 783, 463, 369, 246, 341 |
| 3 | 261, 463, 123, 82, 341 |
| 41 | 87, 463, 41, 82, 341 |
| 87, 463, 1, 2, 341 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 41 x 87 x 463 x 1 x 2 x 341 = 20274071796
Therefore, the lowest common multiple of 783,926,738,492,682 is 20274071796.
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.
783 x 926 x 738 x 492 x 682 = 179547179825376
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.
783 : 1, 3, 9, 27, 29, 87, 261, 783
926 : 1, 2, 463, 926
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
682 : 1, 2, 11, 22, 31, 62, 341, 682
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 783,926,738,492,682, is 1.
Now, the common factors can be found like this.
783:3x 3x 3x 29
926:2x 463
738:2x 3x 3x 41
492:2x 2x 3x 41
682:2x 11x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 3x 3x 41 = 8856
Therefore, the value for common factors is 8856.
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 = 179547179825376/(1x8856)
LCM = 179547179825376/8856
LCM = 20274071796
Thus, we can understand that the LCM of 783,926,738,492,682 is 20274071796.
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FAQs on LCM of 783, 926, 738, 492, 682
1. What is the LCM of 783, 926, 738, 492, 682?
Answer: LCM of 783, 926, 738, 492, 682 is 20274071796.
2. How to calculate the LCM of 783, 926, 738, 492, 682?
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 783, 926, 738, 492, 682.
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}.