LCM of 113, 559, 418, 911, 902
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 113, 559, 418, 911, 902 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 113, 559, 418, 911, 902. So, keep reading to learn more.
Given numbers are 113,559,418,911,902
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 113,559,418,911,902 is 986208557906.
Find LCM of 113,559,418,911,902 with Prime Factorization
| 2 | 113, 559, 418, 911, 902 |
| 11 | 113, 559, 209, 911, 451 |
| 113, 559, 19, 911, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 113 x 559 x 19 x 911 x 41 = 986208557906
Therefore, the lowest common multiple of 113,559,418,911,902 is 986208557906.
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.
113 x 559 x 418 x 911 x 902 = 21696588273932
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.
113 : 1, 113
559 : 1, 13, 43, 559
418 : 1, 2, 11, 19, 22, 38, 209, 418
911 : 1, 911
902 : 1, 2, 11, 22, 41, 82, 451, 902
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 113,559,418,911,902, is 1.
Now, the common factors can be found like this.
113:113
559:13x 43
418:2x 11x 19
911:911
902:2x 11x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11 = 22
Therefore, the value for common factors is 22.
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 = 21696588273932/(1x22)
LCM = 21696588273932/22
LCM = 986208557906
Thus, we can understand that the LCM of 113,559,418,911,902 is 986208557906.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 113, 559, 418, 911, 902
1. What is the LCM of 113, 559, 418, 911, 902?
Answer: LCM of 113, 559, 418, 911, 902 is 986208557906.
2. How to calculate the LCM of 113, 559, 418, 911, 902?
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 113, 559, 418, 911, 902.
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}.