LCM of 905, 867, 974, 940
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 905, 867, 974, 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 905, 867, 974, 940. So, keep reading to learn more.
Given numbers are 905,867,974,940
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 905,867,974,940 is 71838042060.
Find LCM of 905,867,974,940 with Prime Factorization
| 2 | 905, 867, 974, 940 |
| 5 | 905, 867, 487, 470 |
| 181, 867, 487, 94 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 181 x 867 x 487 x 94 = 71838042060
Therefore, the lowest common multiple of 905,867,974,940 is 71838042060.
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.
905 x 867 x 974 x 940 = 718380420600
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.
905 : 1, 5, 181, 905
867 : 1, 3, 17, 51, 289, 867
974 : 1, 2, 487, 974
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 905,867,974,940, is 1.
Now, the common factors can be found like this.
905:5x 181
867:3x 17x 17
974:2x 487
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 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 = 718380420600/(1x10)
LCM = 718380420600/10
LCM = 71838042060
Thus, we can understand that the LCM of 905,867,974,940 is 71838042060.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 905, 867, 974, 940
1. What is the LCM of 905, 867, 974, 940?
Answer: LCM of 905, 867, 974, 940 is 71838042060.
2. How to calculate the LCM of 905, 867, 974, 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 905, 867, 974, 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}.