LCM of 781, 454, 923, 764, 249
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 781, 454, 923, 764, 249 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 781, 454, 923, 764, 249. So, keep reading to learn more.
Given numbers are 781,454,923,764,249
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 781,454,923,764,249 is 438442806516.
Find LCM of 781,454,923,764,249 with Prime Factorization
| 2 | 781, 454, 923, 764, 249 |
| 71 | 781, 227, 923, 382, 249 |
| 11, 227, 13, 382, 249 |
Multiply the prime numbers at the bottom and the left side.
2 x 71 x 11 x 227 x 13 x 382 x 249 = 438442806516
Therefore, the lowest common multiple of 781,454,923,764,249 is 438442806516.
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.
781 x 454 x 923 x 764 x 249 = 62258878525272
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.
781 : 1, 11, 71, 781
454 : 1, 2, 227, 454
923 : 1, 13, 71, 923
764 : 1, 2, 4, 191, 382, 764
249 : 1, 3, 83, 249
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,454,923,764,249, is 1.
Now, the common factors can be found like this.
781:11x 71
454:2x 227
923:13x 71
764:2x 2x 191
249:3x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 71 = 142
Therefore, the value for common factors is 142.
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 = 62258878525272/(1x142)
LCM = 62258878525272/142
LCM = 438442806516
Thus, we can understand that the LCM of 781,454,923,764,249 is 438442806516.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 781, 454, 923, 764, 249
1. What is the LCM of 781, 454, 923, 764, 249?
Answer: LCM of 781, 454, 923, 764, 249 is 438442806516.
2. How to calculate the LCM of 781, 454, 923, 764, 249?
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 781, 454, 923, 764, 249.
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}.