Find the LCM of 557, 731, 264, 543, 308 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 557, 731, 264, 543, 308. So, keep reading to learn more.
Given numbers are 557,731,264,543,308
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 557,731,264,543,308 is 136192475496.
Find LCM of 557,731,264,543,308 with Prime Factorization
2 | 557, 731, 264, 543, 308 |
2 | 557, 731, 132, 543, 154 |
3 | 557, 731, 66, 543, 77 |
11 | 557, 731, 22, 181, 77 |
557, 731, 2, 181, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 557 x 731 x 2 x 181 x 7 = 136192475496
Therefore, the lowest common multiple of 557,731,264,543,308 is 136192475496.
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.
557 x 731 x 264 x 543 x 308 = 17977406765472
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.
557 : 1, 557
731 : 1, 17, 43, 731
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
543 : 1, 3, 181, 543
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 557,731,264,543,308, is 1.
Now, the common factors can be found like this.
557:557
731:17x 43
264:2x 2x 2x 3x 11
543:3x 181
308:2x 2x 7x 11
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 3x 11 = 132
Therefore, the value for common factors is 132.
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 = 17977406765472/(1x132)
LCM = 17977406765472/132
LCM = 136192475496
Thus, we can understand that the LCM of 557,731,264,543,308 is 136192475496.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 557, 731, 264, 543, 308?
Answer: LCM of 557, 731, 264, 543, 308 is 136192475496.
2. How to calculate the LCM of 557, 731, 264, 543, 308?
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 557, 731, 264, 543, 308.
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}.