LCM of 746, 496, 475, 105, 223
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 746, 496, 475, 105, 223 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 746, 496, 475, 105, 223. So, keep reading to learn more.
Given numbers are 746,496,475,105,223
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 746,496,475,105,223 is 411536420400.
Find LCM of 746,496,475,105,223 with Prime Factorization
| 2 | 746, 496, 475, 105, 223 |
| 5 | 373, 248, 475, 105, 223 |
| 373, 248, 95, 21, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 373 x 248 x 95 x 21 x 223 = 411536420400
Therefore, the lowest common multiple of 746,496,475,105,223 is 411536420400.
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.
746 x 496 x 475 x 105 x 223 = 4115364204000
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.
746 : 1, 2, 373, 746
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
475 : 1, 5, 19, 25, 95, 475
105 : 1, 3, 5, 7, 15, 21, 35, 105
223 : 1, 223
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,496,475,105,223, is 1.
Now, the common factors can be found like this.
746:2x 373
496:2x 2x 2x 2x 31
475:5x 5x 19
105:3x 5x 7
223:223
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 4115364204000/(1x10)
LCM = 4115364204000/10
LCM = 411536420400
Thus, we can understand that the LCM of 746,496,475,105,223 is 411536420400.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 746, 496, 475, 105, 223
1. What is the LCM of 746, 496, 475, 105, 223?
Answer: LCM of 746, 496, 475, 105, 223 is 411536420400.
2. How to calculate the LCM of 746, 496, 475, 105, 223?
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 746, 496, 475, 105, 223.
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}.