Find the LCM of 209, 678, 862, 289, 802 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 209, 678, 862, 289, 802. So, keep reading to learn more.
Given numbers are 209,678,862,289,802
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 209,678,862,289,802 is 7077754026618.
Find LCM of 209,678,862,289,802 with Prime Factorization
2 | 209, 678, 862, 289, 802 |
209, 339, 431, 289, 401 |
Multiply the prime numbers at the bottom and the left side.
2 x 209 x 339 x 431 x 289 x 401 = 7077754026618
Therefore, the lowest common multiple of 209,678,862,289,802 is 7077754026618.
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.
209 x 678 x 862 x 289 x 802 = 28311016106472
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.
209 : 1, 11, 19, 209
678 : 1, 2, 3, 6, 113, 226, 339, 678
862 : 1, 2, 431, 862
289 : 1, 17, 289
802 : 1, 2, 401, 802
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,678,862,289,802, is 1.
Now, the common factors can be found like this.
209:11x 19
678:2x 3x 113
862:2x 431
289:17x 17
802:2x 401
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 28311016106472/(1x4)
LCM = 28311016106472/4
LCM = 7077754026618
Thus, we can understand that the LCM of 209,678,862,289,802 is 7077754026618.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 209, 678, 862, 289, 802?
Answer: LCM of 209, 678, 862, 289, 802 is 7077754026618.
2. How to calculate the LCM of 209, 678, 862, 289, 802?
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 209, 678, 862, 289, 802.
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}.