Find the LCM of 674, 104, 429, 496, 672 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, 104, 429, 496, 672. So, keep reading to learn more.
Given numbers are 674,104,429,496,672
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 674,104,429,496,672 is 1003914912.
Find LCM of 674,104,429,496,672 with Prime Factorization
2 | 674, 104, 429, 496, 672 |
2 | 337, 52, 429, 248, 336 |
2 | 337, 26, 429, 124, 168 |
2 | 337, 13, 429, 62, 84 |
3 | 337, 13, 429, 31, 42 |
13 | 337, 13, 143, 31, 14 |
337, 1, 11, 31, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 13 x 337 x 1 x 11 x 31 x 14 = 1003914912
Therefore, the lowest common multiple of 674,104,429,496,672 is 1003914912.
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 104 x 429 x 496 x 672 = 10023086481408
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
104 : 1, 2, 4, 8, 13, 26, 52, 104
429 : 1, 3, 11, 13, 33, 39, 143, 429
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 674,104,429,496,672, is 1.
Now, the common factors can be found like this.
674:2x 337
104:2x 2x 2x 13
429:3x 11x 13
496:2x 2x 2x 2x 31
672:2x 2x 2x 2x 2x 3x 7
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 2x 2x 3x 13 = 9984
Therefore, the value for common factors is 9984.
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 = 10023086481408/(1x9984)
LCM = 10023086481408/9984
LCM = 1003914912
Thus, we can understand that the LCM of 674,104,429,496,672 is 1003914912.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 674, 104, 429, 496, 672?
Answer: LCM of 674, 104, 429, 496, 672 is 1003914912.
2. How to calculate the LCM of 674, 104, 429, 496, 672?
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, 104, 429, 496, 672.
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}.