LCM of 643, 225, 990, 958, 751
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 643, 225, 990, 958, 751 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 643, 225, 990, 958, 751. So, keep reading to learn more.
Given numbers are 643,225,990,958,751
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 643,225,990,958,751 is 1144963447650.
Find LCM of 643,225,990,958,751 with Prime Factorization
| 2 | 643, 225, 990, 958, 751 |
| 3 | 643, 225, 495, 479, 751 |
| 3 | 643, 75, 165, 479, 751 |
| 5 | 643, 25, 55, 479, 751 |
| 643, 5, 11, 479, 751 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 643 x 5 x 11 x 479 x 751 = 1144963447650
Therefore, the lowest common multiple of 643,225,990,958,751 is 1144963447650.
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.
643 x 225 x 990 x 958 x 751 = 103046710288500
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.
643 : 1, 643
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
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
958 : 1, 2, 479, 958
751 : 1, 751
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 643,225,990,958,751, is 1.
Now, the common factors can be found like this.
643:643
225:3x 3x 5x 5
990:2x 3x 3x 5x 11
958:2x 479
751:751
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5 = 90
Therefore, the value for common factors is 90.
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 = 103046710288500/(1x90)
LCM = 103046710288500/90
LCM = 1144963447650
Thus, we can understand that the LCM of 643,225,990,958,751 is 1144963447650.
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FAQs on LCM of 643, 225, 990, 958, 751
1. What is the LCM of 643, 225, 990, 958, 751?
Answer: LCM of 643, 225, 990, 958, 751 is 1144963447650.
2. How to calculate the LCM of 643, 225, 990, 958, 751?
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 643, 225, 990, 958, 751.
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}.