LCM of 701, 744, 973, 879, 939
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 701, 744, 973, 879, 939 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 701, 744, 973, 879, 939. So, keep reading to learn more.
Given numbers are 701,744,973,879,939
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 701,744,973,879,939 is 46538861171208.
Find LCM of 701,744,973,879,939 with Prime Factorization
| 3 | 701, 744, 973, 879, 939 |
| 701, 248, 973, 293, 313 |
Multiply the prime numbers at the bottom and the left side.
3 x 701 x 248 x 973 x 293 x 313 = 46538861171208
Therefore, the lowest common multiple of 701,744,973,879,939 is 46538861171208.
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.
701 x 744 x 973 x 879 x 939 = 418849750540872
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.
701 : 1, 701
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
973 : 1, 7, 139, 973
879 : 1, 3, 293, 879
939 : 1, 3, 313, 939
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 701,744,973,879,939, is 1.
Now, the common factors can be found like this.
701:701
744:2x 2x 2x 3x 31
973:7x 139
879:3x 293
939:3x 313
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 418849750540872/(1x9)
LCM = 418849750540872/9
LCM = 46538861171208
Thus, we can understand that the LCM of 701,744,973,879,939 is 46538861171208.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 701, 744, 973, 879, 939
1. What is the LCM of 701, 744, 973, 879, 939?
Answer: LCM of 701, 744, 973, 879, 939 is 46538861171208.
2. How to calculate the LCM of 701, 744, 973, 879, 939?
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 701, 744, 973, 879, 939.
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}.