Find the LCM of 827, 578, 147, 898, 205 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, 578, 147, 898, 205. So, keep reading to learn more.
Given numbers are 827,578,147,898,205
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 827,578,147,898,205 is 6467715153690.
Find LCM of 827,578,147,898,205 with Prime Factorization
2 | 827, 578, 147, 898, 205 |
827, 289, 147, 449, 205 |
Multiply the prime numbers at the bottom and the left side.
2 x 827 x 289 x 147 x 449 x 205 = 6467715153690
Therefore, the lowest common multiple of 827,578,147,898,205 is 6467715153690.
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 578 x 147 x 898 x 205 = 12935430307380
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
578 : 1, 2, 17, 34, 289, 578
147 : 1, 3, 7, 21, 49, 147
898 : 1, 2, 449, 898
205 : 1, 5, 41, 205
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 827,578,147,898,205, is 1.
Now, the common factors can be found like this.
827:827
578:2x 17x 17
147:3x 7x 7
898:2x 449
205:5x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 12935430307380/(1x2)
LCM = 12935430307380/2
LCM = 6467715153690
Thus, we can understand that the LCM of 827,578,147,898,205 is 6467715153690.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 827, 578, 147, 898, 205?
Answer: LCM of 827, 578, 147, 898, 205 is 6467715153690.
2. How to calculate the LCM of 827, 578, 147, 898, 205?
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, 578, 147, 898, 205.
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}.