LCM of 968, 872, 109, 391, 974
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 968, 872, 109, 391, 974 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 968, 872, 109, 391, 974. So, keep reading to learn more.
Given numbers are 968,872,109,391,974
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 968,872,109,391,974 is 20091278504.
Find LCM of 968,872,109,391,974 with Prime Factorization
| 2 | 968, 872, 109, 391, 974 |
| 2 | 484, 436, 109, 391, 487 |
| 2 | 242, 218, 109, 391, 487 |
| 109 | 121, 109, 109, 391, 487 |
| 121, 1, 1, 391, 487 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 109 x 121 x 1 x 1 x 391 x 487 = 20091278504
Therefore, the lowest common multiple of 968,872,109,391,974 is 20091278504.
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.
968 x 872 x 109 x 391 x 974 = 35039189710976
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.
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
872 : 1, 2, 4, 8, 109, 218, 436, 872
109 : 1, 109
391 : 1, 17, 23, 391
974 : 1, 2, 487, 974
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 968,872,109,391,974, is 1.
Now, the common factors can be found like this.
968:2x 2x 2x 11x 11
872:2x 2x 2x 109
109:109
391:17x 23
974:2x 487
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 109 = 1744
Therefore, the value for common factors is 1744.
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 = 35039189710976/(1x1744)
LCM = 35039189710976/1744
LCM = 20091278504
Thus, we can understand that the LCM of 968,872,109,391,974 is 20091278504.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 968, 872, 109, 391, 974
1. What is the LCM of 968, 872, 109, 391, 974?
Answer: LCM of 968, 872, 109, 391, 974 is 20091278504.
2. How to calculate the LCM of 968, 872, 109, 391, 974?
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 968, 872, 109, 391, 974.
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}.