LCM of 735, 981, 882, 701, 903
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 735, 981, 882, 701, 903 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 735, 981, 882, 701, 903. So, keep reading to learn more.
Given numbers are 735,981,882,701,903
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 735,981,882,701,903 is 14489438670.
Find LCM of 735,981,882,701,903 with Prime Factorization
| 3 | 735, 981, 882, 701, 903 |
| 3 | 245, 327, 294, 701, 301 |
| 7 | 245, 109, 98, 701, 301 |
| 7 | 35, 109, 14, 701, 43 |
| 5, 109, 2, 701, 43 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 7 x 7 x 5 x 109 x 2 x 701 x 43 = 14489438670
Therefore, the lowest common multiple of 735,981,882,701,903 is 14489438670.
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.
735 x 981 x 882 x 701 x 903 = 402560074568610
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.
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
981 : 1, 3, 9, 109, 327, 981
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
701 : 1, 701
903 : 1, 3, 7, 21, 43, 129, 301, 903
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,981,882,701,903, is 1.
Now, the common factors can be found like this.
735:3x 5x 7x 7
981:3x 3x 109
882:2x 3x 3x 7x 7
701:701
903:3x 7x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 7x 7x 7 = 27783
Therefore, the value for common factors is 27783.
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 = 402560074568610/(1x27783)
LCM = 402560074568610/27783
LCM = 14489438670
Thus, we can understand that the LCM of 735,981,882,701,903 is 14489438670.
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FAQs on LCM of 735, 981, 882, 701, 903
1. What is the LCM of 735, 981, 882, 701, 903?
Answer: LCM of 735, 981, 882, 701, 903 is 14489438670.
2. How to calculate the LCM of 735, 981, 882, 701, 903?
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 735, 981, 882, 701, 903.
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}.