LCM of 722, 682, 899, 276
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 722, 682, 899, 276 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 722, 682, 899, 276. So, keep reading to learn more.
Given numbers are 722,682,899,276
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 722,682,899,276 is 985300404.
Find LCM of 722,682,899,276 with Prime Factorization
| 2 | 722, 682, 899, 276 |
| 31 | 361, 341, 899, 138 |
| 361, 11, 29, 138 |
Multiply the prime numbers at the bottom and the left side.
2 x 31 x 361 x 11 x 29 x 138 = 985300404
Therefore, the lowest common multiple of 722,682,899,276 is 985300404.
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.
722 x 682 x 899 x 276 = 122177250096
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.
722 : 1, 2, 19, 38, 361, 722
682 : 1, 2, 11, 22, 31, 62, 341, 682
899 : 1, 29, 31, 899
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,682,899,276, is 1.
Now, the common factors can be found like this.
722:2x 19x 19
682:2x 11x 31
899:29x 31
276:2x 2x 3x 23
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 31 = 124
Therefore, the value for common factors is 124.
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 = 122177250096/(1x124)
LCM = 122177250096/124
LCM = 985300404
Thus, we can understand that the LCM of 722,682,899,276 is 985300404.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 722, 682, 899, 276
1. What is the LCM of 722, 682, 899, 276?
Answer: LCM of 722, 682, 899, 276 is 985300404.
2. How to calculate the LCM of 722, 682, 899, 276?
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 722, 682, 899, 276.
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}.