LCM of 686, 657, 404, 844, 202
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 686, 657, 404, 844, 202 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, 657, 404, 844, 202. So, keep reading to learn more.
Given numbers are 686,657,404,844,202
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 686,657,404,844,202 is 19209820644.
Find LCM of 686,657,404,844,202 with Prime Factorization
| 2 | 686, 657, 404, 844, 202 |
| 2 | 343, 657, 202, 422, 101 |
| 101 | 343, 657, 101, 211, 101 |
| 343, 657, 1, 211, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 101 x 343 x 657 x 1 x 211 x 1 = 19209820644
Therefore, the lowest common multiple of 686,657,404,844,202 is 19209820644.
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 657 x 404 x 844 x 202 = 31043070160704
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
657 : 1, 3, 9, 73, 219, 657
404 : 1, 2, 4, 101, 202, 404
844 : 1, 2, 4, 211, 422, 844
202 : 1, 2, 101, 202
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 686,657,404,844,202, is 1.
Now, the common factors can be found like this.
686:2x 7x 7x 7
657:3x 3x 73
404:2x 2x 101
844:2x 2x 211
202:2x 101
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 2x 101 = 1616
Therefore, the value for common factors is 1616.
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 = 31043070160704/(1x1616)
LCM = 31043070160704/1616
LCM = 19209820644
Thus, we can understand that the LCM of 686,657,404,844,202 is 19209820644.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 686, 657, 404, 844, 202
1. What is the LCM of 686, 657, 404, 844, 202?
Answer: LCM of 686, 657, 404, 844, 202 is 19209820644.
2. How to calculate the LCM of 686, 657, 404, 844, 202?
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, 657, 404, 844, 202.
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}.