Find the LCM of 674, 888, 296, 464 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, 888, 296, 464. So, keep reading to learn more.
Given numbers are 674,888,296,464
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 674,888,296,464 is 17356848.
Find LCM of 674,888,296,464 with Prime Factorization
2 | 674, 888, 296, 464 |
2 | 337, 444, 148, 232 |
2 | 337, 222, 74, 116 |
37 | 337, 111, 37, 58 |
337, 3, 1, 58 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 37 x 337 x 3 x 1 x 58 = 17356848
Therefore, the lowest common multiple of 674,888,296,464 is 17356848.
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 888 x 296 x 464 = 82202032128
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
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
296 : 1, 2, 4, 8, 37, 74, 148, 296
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 674,888,296,464, is 2.
Now, the common factors can be found like this.
674:2x 337
888:2x 2x 2x 3x 37
296:2x 2x 2x 37
464:2x 2x 2x 2x 29
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 2x 2x 2x 2x 37 = 2368
Therefore, the value for common factors is 2368.
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 = 82202032128/(2x2368)
LCM = 82202032128/4736
LCM = 17356848
Thus, we can understand that the LCM of 674,888,296,464 is 17356848.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 674, 888, 296, 464?
Answer: LCM of 674, 888, 296, 464 is 17356848.
2. How to calculate the LCM of 674, 888, 296, 464?
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, 888, 296, 464.
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}.