Find the LCM of 827, 326, 767, 590, 828 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 827, 326, 767, 590, 828. So, keep reading to learn more.
Given numbers are 827,326,767,590,828
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 827,326,767,590,828 is 428044399380.
Find LCM of 827,326,767,590,828 with Prime Factorization
2 | 827, 326, 767, 590, 828 |
59 | 827, 163, 767, 295, 414 |
827, 163, 13, 5, 414 |
Multiply the prime numbers at the bottom and the left side.
2 x 59 x 827 x 163 x 13 x 5 x 414 = 428044399380
Therefore, the lowest common multiple of 827,326,767,590,828 is 428044399380.
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.
827 x 326 x 767 x 590 x 828 = 101018478253680
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.
827 : 1, 827
326 : 1, 2, 163, 326
767 : 1, 13, 59, 767
590 : 1, 2, 5, 10, 59, 118, 295, 590
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 827,326,767,590,828, is 1.
Now, the common factors can be found like this.
827:827
326:2x 163
767:13x 59
590:2x 5x 59
828:2x 2x 3x 3x 23
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 59 = 236
Therefore, the value for common factors is 236.
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 = 101018478253680/(1x236)
LCM = 101018478253680/236
LCM = 428044399380
Thus, we can understand that the LCM of 827,326,767,590,828 is 428044399380.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 827, 326, 767, 590, 828?
Answer: LCM of 827, 326, 767, 590, 828 is 428044399380.
2. How to calculate the LCM of 827, 326, 767, 590, 828?
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 827, 326, 767, 590, 828.
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}.