LCM of 919, 910, 436, 903, 733
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 919, 910, 436, 903, 733 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 919, 910, 436, 903, 733. So, keep reading to learn more.
Given numbers are 919,910,436,903,733
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 919,910,436,903,733 is 17238802029540.
Find LCM of 919,910,436,903,733 with Prime Factorization
| 2 | 919, 910, 436, 903, 733 |
| 7 | 919, 455, 218, 903, 733 |
| 919, 65, 218, 129, 733 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 919 x 65 x 218 x 129 x 733 = 17238802029540
Therefore, the lowest common multiple of 919,910,436,903,733 is 17238802029540.
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.
919 x 910 x 436 x 903 x 733 = 241343228413560
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.
919 : 1, 919
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
436 : 1, 2, 4, 109, 218, 436
903 : 1, 3, 7, 21, 43, 129, 301, 903
733 : 1, 733
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 919,910,436,903,733, is 1.
Now, the common factors can be found like this.
919:919
910:2x 5x 7x 13
436:2x 2x 109
903:3x 7x 43
733:733
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7 = 14
Therefore, the value for common factors is 14.
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 = 241343228413560/(1x14)
LCM = 241343228413560/14
LCM = 17238802029540
Thus, we can understand that the LCM of 919,910,436,903,733 is 17238802029540.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 919, 910, 436, 903, 733
1. What is the LCM of 919, 910, 436, 903, 733?
Answer: LCM of 919, 910, 436, 903, 733 is 17238802029540.
2. How to calculate the LCM of 919, 910, 436, 903, 733?
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 919, 910, 436, 903, 733.
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}.