Find the LCM of 762, 674, 827, 827, 843 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 762, 674, 827, 827, 843. So, keep reading to learn more.
Given numbers are 762,674,827,827,843
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 762,674,827,827,843 is 59675587278.
Find LCM of 762,674,827,827,843 with Prime Factorization
2 | 762, 674, 827, 827, 843 |
3 | 381, 337, 827, 827, 843 |
827 | 127, 337, 827, 827, 281 |
127, 337, 1, 1, 281 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 827 x 127 x 337 x 1 x 1 x 281 = 59675587278
Therefore, the lowest common multiple of 762,674,827,827,843 is 59675587278.
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.
762 x 674 x 827 x 827 x 843 = 296110264073436
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.
762 : 1, 2, 3, 6, 127, 254, 381, 762
674 : 1, 2, 337, 674
827 : 1, 827
827 : 1, 827
843 : 1, 3, 281, 843
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,674,827,827,843, is 1.
Now, the common factors can be found like this.
762:2x 3x 127
674:2x 337
827:827
827:827
843:3x 281
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 827 = 4962
Therefore, the value for common factors is 4962.
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 = 296110264073436/(1x4962)
LCM = 296110264073436/4962
LCM = 59675587278
Thus, we can understand that the LCM of 762,674,827,827,843 is 59675587278.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 762, 674, 827, 827, 843?
Answer: LCM of 762, 674, 827, 827, 843 is 59675587278.
2. How to calculate the LCM of 762, 674, 827, 827, 843?
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 762, 674, 827, 827, 843.
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}.