LCM of 946, 679, 902, 869
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 946, 679, 902, 869 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 946, 679, 902, 869. So, keep reading to learn more.
Given numbers are 946,679,902,869
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 946,679,902,869 is 2080519826.
Find LCM of 946,679,902,869 with Prime Factorization
| 2 | 946, 679, 902, 869 |
| 11 | 473, 679, 451, 869 |
| 43, 679, 41, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 43 x 679 x 41 x 79 = 2080519826
Therefore, the lowest common multiple of 946,679,902,869 is 2080519826.
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.
946 x 679 x 902 x 869 = 503485797892
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.
946 : 1, 2, 11, 22, 43, 86, 473, 946
679 : 1, 7, 97, 679
902 : 1, 2, 11, 22, 41, 82, 451, 902
869 : 1, 11, 79, 869
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,679,902,869, is 1.
Now, the common factors can be found like this.
946:2x 11x 43
679:7x 97
902:2x 11x 41
869:11x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 11 = 242
Therefore, the value for common factors is 242.
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 = 503485797892/(1x242)
LCM = 503485797892/242
LCM = 2080519826
Thus, we can understand that the LCM of 946,679,902,869 is 2080519826.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 946, 679, 902, 869
1. What is the LCM of 946, 679, 902, 869?
Answer: LCM of 946, 679, 902, 869 is 2080519826.
2. How to calculate the LCM of 946, 679, 902, 869?
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 946, 679, 902, 869.
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}.