LCM of 726, 252, 856, 296, 642
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 726, 252, 856, 296, 642 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 726, 252, 856, 296, 642. So, keep reading to learn more.
Given numbers are 726,252,856,296,642
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 726,252,856,296,642 is 241435656.
Find LCM of 726,252,856,296,642 with Prime Factorization
| 2 | 726, 252, 856, 296, 642 |
| 2 | 363, 126, 428, 148, 321 |
| 2 | 363, 63, 214, 74, 321 |
| 3 | 363, 63, 107, 37, 321 |
| 107 | 121, 21, 107, 37, 107 |
| 121, 21, 1, 37, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 107 x 121 x 21 x 1 x 37 x 1 = 241435656
Therefore, the lowest common multiple of 726,252,856,296,642 is 241435656.
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.
726 x 252 x 856 x 296 x 642 = 29760324701184
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.
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
856 : 1, 2, 4, 8, 107, 214, 428, 856
296 : 1, 2, 4, 8, 37, 74, 148, 296
642 : 1, 2, 3, 6, 107, 214, 321, 642
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,252,856,296,642, is 2.
Now, the common factors can be found like this.
726:2x 3x 11x 11
252:2x 2x 3x 3x 7
856:2x 2x 2x 107
296:2x 2x 2x 37
642:2x 3x 107
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 2x 2x 3x 3x 107 = 61632
Therefore, the value for common factors is 61632.
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 = 29760324701184/(2x61632)
LCM = 29760324701184/123264
LCM = 241435656
Thus, we can understand that the LCM of 726,252,856,296,642 is 241435656.
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FAQs on LCM of 726, 252, 856, 296, 642
1. What is the LCM of 726, 252, 856, 296, 642?
Answer: LCM of 726, 252, 856, 296, 642 is 241435656.
2. How to calculate the LCM of 726, 252, 856, 296, 642?
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 726, 252, 856, 296, 642.
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}.