Find the LCM of 757, 319, 469, 268 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 757, 319, 469, 268. So, keep reading to learn more.
Given numbers are 757,319,469,268
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 757,319,469,268 is 453022108.
Find LCM of 757,319,469,268 with Prime Factorization
67 | 757, 319, 469, 268 |
757, 319, 7, 4 |
Multiply the prime numbers at the bottom and the left side.
67 x 757 x 319 x 7 x 4 = 453022108
Therefore, the lowest common multiple of 757,319,469,268 is 453022108.
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.
757 x 319 x 469 x 268 = 30352481236
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.
757 : 1, 757
319 : 1, 11, 29, 319
469 : 1, 7, 67, 469
268 : 1, 2, 4, 67, 134, 268
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 757,319,469,268, is 1.
Now, the common factors can be found like this.
757:757
319:11x 29
469:7x 67
268:2x 2x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
67 = 67
Therefore, the value for common factors is 67.
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 = 30352481236/(1x67)
LCM = 30352481236/67
LCM = 453022108
Thus, we can understand that the LCM of 757,319,469,268 is 453022108.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 757, 319, 469, 268?
Answer: LCM of 757, 319, 469, 268 is 453022108.
2. How to calculate the LCM of 757, 319, 469, 268?
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 757, 319, 469, 268.
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}.