LCM of 103, 935, 707, 209, 841
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 103, 935, 707, 209, 841 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 103, 935, 707, 209, 841. So, keep reading to learn more.
Given numbers are 103,935,707,209,841
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 103,935,707,209,841 is 1087972319665.
Find LCM of 103,935,707,209,841 with Prime Factorization
| 11 | 103, 935, 707, 209, 841 |
| 103, 85, 707, 19, 841 |
Multiply the prime numbers at the bottom and the left side.
11 x 103 x 85 x 707 x 19 x 841 = 1087972319665
Therefore, the lowest common multiple of 103,935,707,209,841 is 1087972319665.
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.
103 x 935 x 707 x 209 x 841 = 11967695516315
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.
103 : 1, 103
935 : 1, 5, 11, 17, 55, 85, 187, 935
707 : 1, 7, 101, 707
209 : 1, 11, 19, 209
841 : 1, 29, 841
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 103,935,707,209,841, is 1.
Now, the common factors can be found like this.
103:103
935:5x 11x 17
707:7x 101
209:11x 19
841:29x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 11967695516315/(1x11)
LCM = 11967695516315/11
LCM = 1087972319665
Thus, we can understand that the LCM of 103,935,707,209,841 is 1087972319665.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 103, 935, 707, 209, 841
1. What is the LCM of 103, 935, 707, 209, 841?
Answer: LCM of 103, 935, 707, 209, 841 is 1087972319665.
2. How to calculate the LCM of 103, 935, 707, 209, 841?
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 103, 935, 707, 209, 841.
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}.