LCM of 574, 676, 509, 948, 731
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 574, 676, 509, 948, 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 574, 676, 509, 948, 731. So, keep reading to learn more.
Given numbers are 574,676,509,948,731
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 574,676,509,948,731 is 17108506454676.
Find LCM of 574,676,509,948,731 with Prime Factorization
| 2 | 574, 676, 509, 948, 731 |
| 2 | 287, 338, 509, 474, 731 |
| 287, 169, 509, 237, 731 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 287 x 169 x 509 x 237 x 731 = 17108506454676
Therefore, the lowest common multiple of 574,676,509,948,731 is 17108506454676.
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.
574 x 676 x 509 x 948 x 731 = 136868051637408
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.
574 : 1, 2, 7, 14, 41, 82, 287, 574
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
509 : 1, 509
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
731 : 1, 17, 43, 731
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 574,676,509,948,731, is 1.
Now, the common factors can be found like this.
574:2x 7x 41
676:2x 2x 13x 13
509:509
948:2x 2x 3x 79
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 2 = 8
Therefore, the value for common factors is 8.
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 = 136868051637408/(1x8)
LCM = 136868051637408/8
LCM = 17108506454676
Thus, we can understand that the LCM of 574,676,509,948,731 is 17108506454676.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 574, 676, 509, 948, 731
1. What is the LCM of 574, 676, 509, 948, 731?
Answer: LCM of 574, 676, 509, 948, 731 is 17108506454676.
2. How to calculate the LCM of 574, 676, 509, 948, 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 574, 676, 509, 948, 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}.