LCM of 248, 111, 744, 668, 303
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 248, 111, 744, 668, 303 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 248, 111, 744, 668, 303. So, keep reading to learn more.
Given numbers are 248,111,744,668,303
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 248,111,744,668,303 is 464314776.
Find LCM of 248,111,744,668,303 with Prime Factorization
| 2 | 248, 111, 744, 668, 303 |
| 2 | 124, 111, 372, 334, 303 |
| 2 | 62, 111, 186, 167, 303 |
| 3 | 31, 111, 93, 167, 303 |
| 31 | 31, 37, 31, 167, 101 |
| 1, 37, 1, 167, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 31 x 1 x 37 x 1 x 167 x 101 = 464314776
Therefore, the lowest common multiple of 248,111,744,668,303 is 464314776.
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.
248 x 111 x 744 x 668 x 303 = 4145402320128
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.
248 : 1, 2, 4, 8, 31, 62, 124, 248
111 : 1, 3, 37, 111
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
668 : 1, 2, 4, 167, 334, 668
303 : 1, 3, 101, 303
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 248,111,744,668,303, is 1.
Now, the common factors can be found like this.
248:2x 2x 2x 31
111:3x 37
744:2x 2x 2x 3x 31
668:2x 2x 167
303:3x 101
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 2x 2x 2x 3x 3x 31 = 8928
Therefore, the value for common factors is 8928.
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 = 4145402320128/(1x8928)
LCM = 4145402320128/8928
LCM = 464314776
Thus, we can understand that the LCM of 248,111,744,668,303 is 464314776.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 248, 111, 744, 668, 303
1. What is the LCM of 248, 111, 744, 668, 303?
Answer: LCM of 248, 111, 744, 668, 303 is 464314776.
2. How to calculate the LCM of 248, 111, 744, 668, 303?
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 248, 111, 744, 668, 303.
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}.