LCM of 223, 958, 200, 958, 803
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 223, 958, 200, 958, 803 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 223, 958, 200, 958, 803. So, keep reading to learn more.
Given numbers are 223,958,200,958,803
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 223,958,200,958,803 is 17154810200.
Find LCM of 223,958,200,958,803 with Prime Factorization
| 2 | 223, 958, 200, 958, 803 |
| 479 | 223, 479, 100, 479, 803 |
| 223, 1, 100, 1, 803 |
Multiply the prime numbers at the bottom and the left side.
2 x 479 x 223 x 1 x 100 x 1 x 803 = 17154810200
Therefore, the lowest common multiple of 223,958,200,958,803 is 17154810200.
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.
223 x 958 x 200 x 958 x 803 = 32868616343200
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.
223 : 1, 223
958 : 1, 2, 479, 958
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
958 : 1, 2, 479, 958
803 : 1, 11, 73, 803
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 223,958,200,958,803, is 1.
Now, the common factors can be found like this.
223:223
958:2x 479
200:2x 2x 2x 5x 5
958:2x 479
803:11x 73
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 479 = 1916
Therefore, the value for common factors is 1916.
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 = 32868616343200/(1x1916)
LCM = 32868616343200/1916
LCM = 17154810200
Thus, we can understand that the LCM of 223,958,200,958,803 is 17154810200.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 223, 958, 200, 958, 803
1. What is the LCM of 223, 958, 200, 958, 803?
Answer: LCM of 223, 958, 200, 958, 803 is 17154810200.
2. How to calculate the LCM of 223, 958, 200, 958, 803?
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 223, 958, 200, 958, 803.
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}.