LCM of 776, 527, 744, 872
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 776, 527, 744, 872 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 776, 527, 744, 872. So, keep reading to learn more.
Given numbers are 776,527,744,872
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 776,527,744,872 is 133727304.
Find LCM of 776,527,744,872 with Prime Factorization
| 2 | 776, 527, 744, 872 |
| 2 | 388, 527, 372, 436 |
| 2 | 194, 527, 186, 218 |
| 31 | 97, 527, 93, 109 |
| 97, 17, 3, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 31 x 97 x 17 x 3 x 109 = 133727304
Therefore, the lowest common multiple of 776,527,744,872 is 133727304.
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.
776 x 527 x 744 x 872 = 265314971136
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.
776 : 1, 2, 4, 8, 97, 194, 388, 776
527 : 1, 17, 31, 527
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
872 : 1, 2, 4, 8, 109, 218, 436, 872
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 776,527,744,872, is 1.
Now, the common factors can be found like this.
776:2x 2x 2x 97
527:17x 31
744:2x 2x 2x 3x 31
872:2x 2x 2x 109
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 2x 2x 31 = 1984
Therefore, the value for common factors is 1984.
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 = 265314971136/(1x1984)
LCM = 265314971136/1984
LCM = 133727304
Thus, we can understand that the LCM of 776,527,744,872 is 133727304.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 776, 527, 744, 872
1. What is the LCM of 776, 527, 744, 872?
Answer: LCM of 776, 527, 744, 872 is 133727304.
2. How to calculate the LCM of 776, 527, 744, 872?
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 776, 527, 744, 872.
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}.