LCM of 731, 544, 938, 764, 731
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 731, 544, 938, 764, 731 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 731, 544, 938, 764, 731. So, keep reading to learn more.
Given numbers are 731,544,938,764,731
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 731,544,938,764,731 is 2095431968.
Find LCM of 731,544,938,764,731 with Prime Factorization
| 2 | 731, 544, 938, 764, 731 |
| 2 | 731, 272, 469, 382, 731 |
| 17 | 731, 136, 469, 191, 731 |
| 43 | 43, 8, 469, 191, 43 |
| 1, 8, 469, 191, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 43 x 1 x 8 x 469 x 191 x 1 = 2095431968
Therefore, the lowest common multiple of 731,544,938,764,731 is 2095431968.
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.
731 x 544 x 938 x 764 x 731 = 208319464530688
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.
731 : 1, 17, 43, 731
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
938 : 1, 2, 7, 14, 67, 134, 469, 938
764 : 1, 2, 4, 191, 382, 764
731 : 1, 17, 43, 731
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 731,544,938,764,731, is 1.
Now, the common factors can be found like this.
731:17x 43
544:2x 2x 2x 2x 2x 17
938:2x 7x 67
764:2x 2x 191
731:17x 43
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 17x 17x 43 = 99416
Therefore, the value for common factors is 99416.
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 = 208319464530688/(1x99416)
LCM = 208319464530688/99416
LCM = 2095431968
Thus, we can understand that the LCM of 731,544,938,764,731 is 2095431968.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 731, 544, 938, 764, 731
1. What is the LCM of 731, 544, 938, 764, 731?
Answer: LCM of 731, 544, 938, 764, 731 is 2095431968.
2. How to calculate the LCM of 731, 544, 938, 764, 731?
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 731, 544, 938, 764, 731.
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}.