LCM of 803, 223, 892, 668
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 803, 223, 892, 668 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 803, 223, 892, 668. So, keep reading to learn more.
Given numbers are 803,223,892,668
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 803,223,892,668 is 119618092.
Find LCM of 803,223,892,668 with Prime Factorization
| 2 | 803, 223, 892, 668 |
| 2 | 803, 223, 446, 334 |
| 223 | 803, 223, 223, 167 |
| 803, 1, 1, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 223 x 803 x 1 x 1 x 167 = 119618092
Therefore, the lowest common multiple of 803,223,892,668 is 119618092.
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.
803 x 223 x 892 x 668 = 106699338064
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.
803 : 1, 11, 73, 803
223 : 1, 223
892 : 1, 2, 4, 223, 446, 892
668 : 1, 2, 4, 167, 334, 668
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 803,223,892,668, is 1.
Now, the common factors can be found like this.
803:11x 73
223:223
892:2x 2x 223
668:2x 2x 167
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 223 = 892
Therefore, the value for common factors is 892.
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 = 106699338064/(1x892)
LCM = 106699338064/892
LCM = 119618092
Thus, we can understand that the LCM of 803,223,892,668 is 119618092.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 803, 223, 892, 668
1. What is the LCM of 803, 223, 892, 668?
Answer: LCM of 803, 223, 892, 668 is 119618092.
2. How to calculate the LCM of 803, 223, 892, 668?
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 803, 223, 892, 668.
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}.