LCM of 130, 961, 950, 190, 867
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 130, 961, 950, 190, 867 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 130, 961, 950, 190, 867. So, keep reading to learn more.
Given numbers are 130,961,950,190,867
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 130,961,950,190,867 is 10289859450.
Find LCM of 130,961,950,190,867 with Prime Factorization
| 2 | 130, 961, 950, 190, 867 |
| 5 | 65, 961, 475, 95, 867 |
| 19 | 13, 961, 19, 95, 867 |
| 13, 961, 1, 5, 867 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 19 x 13 x 961 x 1 x 5 x 867 = 10289859450
Therefore, the lowest common multiple of 130,961,950,190,867 is 10289859450.
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.
130 x 961 x 950 x 190 x 867 = 19550732955000
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.
130 : 1, 2, 5, 10, 13, 26, 65, 130
961 : 1, 31, 961
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
190 : 1, 2, 5, 10, 19, 38, 95, 190
867 : 1, 3, 17, 51, 289, 867
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 130,961,950,190,867, is 1.
Now, the common factors can be found like this.
130:2x 5x 13
961:31x 31
950:2x 5x 5x 19
190:2x 5x 19
867:3x 17x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 5x 5x 19 = 1900
Therefore, the value for common factors is 1900.
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 = 19550732955000/(1x1900)
LCM = 19550732955000/1900
LCM = 10289859450
Thus, we can understand that the LCM of 130,961,950,190,867 is 10289859450.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 130, 961, 950, 190, 867
1. What is the LCM of 130, 961, 950, 190, 867?
Answer: LCM of 130, 961, 950, 190, 867 is 10289859450.
2. How to calculate the LCM of 130, 961, 950, 190, 867?
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 130, 961, 950, 190, 867.
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}.