Find the LCM of 731, 584, 766, 263, 242 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, 584, 766, 263, 242. So, keep reading to learn more.
Given numbers are 731,584,766,263,242
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 731,584,766,263,242 is 5203195174936.
Find LCM of 731,584,766,263,242 with Prime Factorization
2 | 731, 584, 766, 263, 242 |
731, 292, 383, 263, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 731 x 292 x 383 x 263 x 121 = 5203195174936
Therefore, the lowest common multiple of 731,584,766,263,242 is 5203195174936.
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 584 x 766 x 263 x 242 = 20812780699744
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
584 : 1, 2, 4, 8, 73, 146, 292, 584
766 : 1, 2, 383, 766
263 : 1, 263
242 : 1, 2, 11, 22, 121, 242
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 731,584,766,263,242, is 1.
Now, the common factors can be found like this.
731:17x 43
584:2x 2x 2x 73
766:2x 383
263:263
242:2x 11x 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 2 = 4
Therefore, the value for common factors is 4.
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 = 20812780699744/(1x4)
LCM = 20812780699744/4
LCM = 5203195174936
Thus, we can understand that the LCM of 731,584,766,263,242 is 5203195174936.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 731, 584, 766, 263, 242?
Answer: LCM of 731, 584, 766, 263, 242 is 5203195174936.
2. How to calculate the LCM of 731, 584, 766, 263, 242?
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, 584, 766, 263, 242.
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}.