Find the LCM of 674, 945, 913, 546, 794 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 674, 945, 913, 546, 794. So, keep reading to learn more.
Given numbers are 674,945,913,546,794
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 674,945,913,546,794 is 3001209701490.
Find LCM of 674,945,913,546,794 with Prime Factorization
2 | 674, 945, 913, 546, 794 |
3 | 337, 945, 913, 273, 397 |
7 | 337, 315, 913, 91, 397 |
337, 45, 913, 13, 397 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 337 x 45 x 913 x 13 x 397 = 3001209701490
Therefore, the lowest common multiple of 674,945,913,546,794 is 3001209701490.
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.
674 x 945 x 913 x 546 x 794 = 252101614925160
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.
674 : 1, 2, 337, 674
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
913 : 1, 11, 83, 913
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
794 : 1, 2, 397, 794
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 674,945,913,546,794, is 1.
Now, the common factors can be found like this.
674:2x 337
945:3x 3x 3x 5x 7
913:11x 83
546:2x 3x 7x 13
794:2x 397
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 7 = 84
Therefore, the value for common factors is 84.
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 = 252101614925160/(1x84)
LCM = 252101614925160/84
LCM = 3001209701490
Thus, we can understand that the LCM of 674,945,913,546,794 is 3001209701490.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 674, 945, 913, 546, 794?
Answer: LCM of 674, 945, 913, 546, 794 is 3001209701490.
2. How to calculate the LCM of 674, 945, 913, 546, 794?
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 674, 945, 913, 546, 794.
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}.