LCM of 119, 871, 865, 451, 990
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 119, 871, 865, 451, 990 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 119, 871, 865, 451, 990. So, keep reading to learn more.
Given numbers are 119,871,865,451,990
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 119,871,865,451,990 is 727830533430.
Find LCM of 119,871,865,451,990 with Prime Factorization
| 5 | 119, 871, 865, 451, 990 |
| 11 | 119, 871, 173, 451, 198 |
| 119, 871, 173, 41, 18 |
Multiply the prime numbers at the bottom and the left side.
5 x 11 x 119 x 871 x 173 x 41 x 18 = 727830533430
Therefore, the lowest common multiple of 119,871,865,451,990 is 727830533430.
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.
119 x 871 x 865 x 451 x 990 = 40030679338650
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.
119 : 1, 7, 17, 119
871 : 1, 13, 67, 871
865 : 1, 5, 173, 865
451 : 1, 11, 41, 451
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 119,871,865,451,990, is 1.
Now, the common factors can be found like this.
119:7x 17
871:13x 67
865:5x 173
451:11x 41
990:2x 3x 3x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 11 = 55
Therefore, the value for common factors is 55.
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 = 40030679338650/(1x55)
LCM = 40030679338650/55
LCM = 727830533430
Thus, we can understand that the LCM of 119,871,865,451,990 is 727830533430.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 119, 871, 865, 451, 990
1. What is the LCM of 119, 871, 865, 451, 990?
Answer: LCM of 119, 871, 865, 451, 990 is 727830533430.
2. How to calculate the LCM of 119, 871, 865, 451, 990?
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 119, 871, 865, 451, 990.
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}.