LCM of 873, 475, 950, 989
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 873, 475, 950, 989 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 873, 475, 950, 989. So, keep reading to learn more.
Given numbers are 873,475,950,989
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 873,475,950,989 is 820227150.
Find LCM of 873,475,950,989 with Prime Factorization
| 5 | 873, 475, 950, 989 |
| 5 | 873, 95, 190, 989 |
| 19 | 873, 19, 38, 989 |
| 873, 1, 2, 989 |
Multiply the prime numbers at the bottom and the left side.
5 x 5 x 19 x 873 x 1 x 2 x 989 = 820227150
Therefore, the lowest common multiple of 873,475,950,989 is 820227150.
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.
873 x 475 x 950 x 989 = 389607896250
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.
873 : 1, 3, 9, 97, 291, 873
475 : 1, 5, 19, 25, 95, 475
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
989 : 1, 23, 43, 989
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 873,475,950,989, is 1.
Now, the common factors can be found like this.
873:3x 3x 97
475:5x 5x 19
950:2x 5x 5x 19
989:23x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 19 = 475
Therefore, the value for common factors is 475.
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 = 389607896250/(1x475)
LCM = 389607896250/475
LCM = 820227150
Thus, we can understand that the LCM of 873,475,950,989 is 820227150.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 873, 475, 950, 989
1. What is the LCM of 873, 475, 950, 989?
Answer: LCM of 873, 475, 950, 989 is 820227150.
2. How to calculate the LCM of 873, 475, 950, 989?
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 873, 475, 950, 989.
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}.