LCM of 447, 312, 752, 940
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 447, 312, 752, 940 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 447, 312, 752, 940. So, keep reading to learn more.
Given numbers are 447,312,752,940
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 447,312,752,940 is 21849360.
Find LCM of 447,312,752,940 with Prime Factorization
| 2 | 447, 312, 752, 940 |
| 2 | 447, 156, 376, 470 |
| 2 | 447, 78, 188, 235 |
| 3 | 447, 39, 94, 235 |
| 47 | 149, 13, 94, 235 |
| 149, 13, 2, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 47 x 149 x 13 x 2 x 5 = 21849360
Therefore, the lowest common multiple of 447,312,752,940 is 21849360.
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.
447 x 312 x 752 x 940 = 98584312320
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.
447 : 1, 3, 149, 447
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 447,312,752,940, is 1.
Now, the common factors can be found like this.
447:3x 149
312:2x 2x 2x 3x 13
752:2x 2x 2x 2x 47
940:2x 2x 5x 47
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 47 = 4512
Therefore, the value for common factors is 4512.
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 = 98584312320/(1x4512)
LCM = 98584312320/4512
LCM = 21849360
Thus, we can understand that the LCM of 447,312,752,940 is 21849360.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 447, 312, 752, 940
1. What is the LCM of 447, 312, 752, 940?
Answer: LCM of 447, 312, 752, 940 is 21849360.
2. How to calculate the LCM of 447, 312, 752, 940?
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 447, 312, 752, 940.
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}.