LCM of 833, 196, 490, 683
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 833, 196, 490, 683 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 833, 196, 490, 683. So, keep reading to learn more.
Given numbers are 833,196,490,683
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 833,196,490,683 is 11378780.
Find LCM of 833,196,490,683 with Prime Factorization
| 2 | 833, 196, 490, 683 |
| 7 | 833, 98, 245, 683 |
| 7 | 119, 14, 35, 683 |
| 17, 2, 5, 683 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 7 x 17 x 2 x 5 x 683 = 11378780
Therefore, the lowest common multiple of 833,196,490,683 is 11378780.
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.
833 x 196 x 490 x 683 = 54640901560
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.
833 : 1, 7, 17, 49, 119, 833
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
683 : 1, 683
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 833,196,490,683, is 1.
Now, the common factors can be found like this.
833:7x 7x 17
196:2x 2x 7x 7
490:2x 5x 7x 7
683:683
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 7x 7x 7 = 4802
Therefore, the value for common factors is 4802.
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 = 54640901560/(1x4802)
LCM = 54640901560/4802
LCM = 11378780
Thus, we can understand that the LCM of 833,196,490,683 is 11378780.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 833, 196, 490, 683
1. What is the LCM of 833, 196, 490, 683?
Answer: LCM of 833, 196, 490, 683 is 11378780.
2. How to calculate the LCM of 833, 196, 490, 683?
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 833, 196, 490, 683.
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}.