LCM of 686, 321, 642, 945
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 686, 321, 642, 945 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 686, 321, 642, 945. So, keep reading to learn more.
Given numbers are 686,321,642,945
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 686,321,642,945 is 9909270.
Find LCM of 686,321,642,945 with Prime Factorization
| 2 | 686, 321, 642, 945 |
| 3 | 343, 321, 321, 945 |
| 7 | 343, 107, 107, 315 |
| 107 | 49, 107, 107, 45 |
| 49, 1, 1, 45 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 107 x 49 x 1 x 1 x 45 = 9909270
Therefore, the lowest common multiple of 686,321,642,945 is 9909270.
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.
686 x 321 x 642 x 945 = 133596778140
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.
686 : 1, 2, 7, 14, 49, 98, 343, 686
321 : 1, 3, 107, 321
642 : 1, 2, 3, 6, 107, 214, 321, 642
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 686,321,642,945, is 1.
Now, the common factors can be found like this.
686:2x 7x 7x 7
321:3x 107
642:2x 3x 107
945:3x 3x 3x 5x 7
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 7x 107 = 13482
Therefore, the value for common factors is 13482.
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 = 133596778140/(1x13482)
LCM = 133596778140/13482
LCM = 9909270
Thus, we can understand that the LCM of 686,321,642,945 is 9909270.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 686, 321, 642, 945
1. What is the LCM of 686, 321, 642, 945?
Answer: LCM of 686, 321, 642, 945 is 9909270.
2. How to calculate the LCM of 686, 321, 642, 945?
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 686, 321, 642, 945.
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}.