LCM of 133, 931, 923, 781, 319
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 133, 931, 923, 781, 319 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 133, 931, 923, 781, 319. So, keep reading to learn more.
Given numbers are 133,931,923,781,319
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 133,931,923,781,319 is 274120847.
Find LCM of 133,931,923,781,319 with Prime Factorization
| 7 | 133, 931, 923, 781, 319 |
| 11 | 19, 133, 923, 781, 319 |
| 19 | 19, 133, 923, 71, 29 |
| 71 | 1, 7, 923, 71, 29 |
| 1, 7, 13, 1, 29 |
Multiply the prime numbers at the bottom and the left side.
7 x 11 x 19 x 71 x 1 x 7 x 13 x 1 x 29 = 274120847
Therefore, the lowest common multiple of 133,931,923,781,319 is 274120847.
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.
133 x 931 x 923 x 781 x 319 = 28473754740431
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.
133 : 1, 7, 19, 133
931 : 1, 7, 19, 49, 133, 931
923 : 1, 13, 71, 923
781 : 1, 11, 71, 781
319 : 1, 11, 29, 319
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 133,931,923,781,319, is 1.
Now, the common factors can be found like this.
133:7x 19
931:7x 7x 19
923:13x 71
781:11x 71
319:11x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 11x 19x 71 = 103873
Therefore, the value for common factors is 103873.
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 = 28473754740431/(1x103873)
LCM = 28473754740431/103873
LCM = 274120847
Thus, we can understand that the LCM of 133,931,923,781,319 is 274120847.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 133, 931, 923, 781, 319
1. What is the LCM of 133, 931, 923, 781, 319?
Answer: LCM of 133, 931, 923, 781, 319 is 274120847.
2. How to calculate the LCM of 133, 931, 923, 781, 319?
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 133, 931, 923, 781, 319.
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}.