Find the LCM of 806, 766, 672, 268, 298 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 806, 766, 672, 268, 298. So, keep reading to learn more.
Given numbers are 806,766,672,268,298
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 806,766,672,268,298 is 1035461997024.
Find LCM of 806,766,672,268,298 with Prime Factorization
2 | 806, 766, 672, 268, 298 |
2 | 403, 383, 336, 134, 149 |
403, 383, 168, 67, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 403 x 383 x 168 x 67 x 149 = 1035461997024
Therefore, the lowest common multiple of 806,766,672,268,298 is 1035461997024.
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.
806 x 766 x 672 x 268 x 298 = 33134783904768
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.
806 : 1, 2, 13, 26, 31, 62, 403, 806
766 : 1, 2, 383, 766
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
268 : 1, 2, 4, 67, 134, 268
298 : 1, 2, 149, 298
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 806,766,672,268,298, is 2.
Now, the common factors can be found like this.
806:2x 13x 31
766:2x 383
672:2x 2x 2x 2x 2x 3x 7
268:2x 2x 67
298:2x 149
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 2 = 16
Therefore, the value for common factors is 16.
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 = 33134783904768/(2x16)
LCM = 33134783904768/32
LCM = 1035461997024
Thus, we can understand that the LCM of 806,766,672,268,298 is 1035461997024.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 806, 766, 672, 268, 298?
Answer: LCM of 806, 766, 672, 268, 298 is 1035461997024.
2. How to calculate the LCM of 806, 766, 672, 268, 298?
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 806, 766, 672, 268, 298.
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}.