LCM of 722, 335, 903, 441, 287
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 722, 335, 903, 441, 287 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, 335, 903, 441, 287. So, keep reading to learn more.
Given numbers are 722,335,903,441,287
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 722,335,903,441,287 is 188049813210.
Find LCM of 722,335,903,441,287 with Prime Factorization
| 3 | 722, 335, 903, 441, 287 |
| 7 | 722, 335, 301, 147, 287 |
| 722, 335, 43, 21, 41 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 722 x 335 x 43 x 21 x 41 = 188049813210
Therefore, the lowest common multiple of 722,335,903,441,287 is 188049813210.
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 335 x 903 x 441 x 287 = 27643322541870
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
335 : 1, 5, 67, 335
903 : 1, 3, 7, 21, 43, 129, 301, 903
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
287 : 1, 7, 41, 287
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,335,903,441,287, is 1.
Now, the common factors can be found like this.
722:2x 19x 19
335:5x 67
903:3x 7x 43
441:3x 3x 7x 7
287:7x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 7 = 147
Therefore, the value for common factors is 147.
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 = 27643322541870/(1x147)
LCM = 27643322541870/147
LCM = 188049813210
Thus, we can understand that the LCM of 722,335,903,441,287 is 188049813210.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 722, 335, 903, 441, 287
1. What is the LCM of 722, 335, 903, 441, 287?
Answer: LCM of 722, 335, 903, 441, 287 is 188049813210.
2. How to calculate the LCM of 722, 335, 903, 441, 287?
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, 335, 903, 441, 287.
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}.