LCM of 112, 874, 902, 512, 952
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 112, 874, 902, 512, 952 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 112, 874, 902, 512, 952. So, keep reading to learn more.
Given numbers are 112,874,902,512,952
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 112,874,902,512,952 is 12008116736.
Find LCM of 112,874,902,512,952 with Prime Factorization
| 2 | 112, 874, 902, 512, 952 |
| 2 | 56, 437, 451, 256, 476 |
| 2 | 28, 437, 451, 128, 238 |
| 2 | 14, 437, 451, 64, 119 |
| 7 | 7, 437, 451, 32, 119 |
| 1, 437, 451, 32, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 7 x 1 x 437 x 451 x 32 x 17 = 12008116736
Therefore, the lowest common multiple of 112,874,902,512,952 is 12008116736.
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.
112 x 874 x 902 x 512 x 952 = 43037090381824
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.
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
874 : 1, 2, 19, 23, 38, 46, 437, 874
902 : 1, 2, 11, 22, 41, 82, 451, 902
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 112,874,902,512,952, is 2.
Now, the common factors can be found like this.
112:2x 2x 2x 2x 7
874:2x 19x 23
902:2x 11x 41
512:2x 2x 2x 2x 2x 2x 2x 2x 2
952:2x 2x 2x 7x 17
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 2x 2x 2x 7 = 1792
Therefore, the value for common factors is 1792.
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 = 43037090381824/(2x1792)
LCM = 43037090381824/3584
LCM = 12008116736
Thus, we can understand that the LCM of 112,874,902,512,952 is 12008116736.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 112, 874, 902, 512, 952
1. What is the LCM of 112, 874, 902, 512, 952?
Answer: LCM of 112, 874, 902, 512, 952 is 12008116736.
2. How to calculate the LCM of 112, 874, 902, 512, 952?
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 112, 874, 902, 512, 952.
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}.