Find the LCM of 836, 168, 686, 970, 251 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 836, 168, 686, 970, 251. So, keep reading to learn more.
Given numbers are 836,168,686,970,251
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 836,168,686,970,251 is 209443606680.
Find LCM of 836,168,686,970,251 with Prime Factorization
2 | 836, 168, 686, 970, 251 |
2 | 418, 84, 343, 485, 251 |
7 | 209, 42, 343, 485, 251 |
209, 6, 49, 485, 251 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 209 x 6 x 49 x 485 x 251 = 209443606680
Therefore, the lowest common multiple of 836,168,686,970,251 is 209443606680.
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.
836 x 168 x 686 x 970 x 251 = 23457683948160
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.
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
686 : 1, 2, 7, 14, 49, 98, 343, 686
970 : 1, 2, 5, 10, 97, 194, 485, 970
251 : 1, 251
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 836,168,686,970,251, is 1.
Now, the common factors can be found like this.
836:2x 2x 11x 19
168:2x 2x 2x 3x 7
686:2x 7x 7x 7
970:2x 5x 97
251:251
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 2x 7 = 112
Therefore, the value for common factors is 112.
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 = 23457683948160/(1x112)
LCM = 23457683948160/112
LCM = 209443606680
Thus, we can understand that the LCM of 836,168,686,970,251 is 209443606680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 836, 168, 686, 970, 251?
Answer: LCM of 836, 168, 686, 970, 251 is 209443606680.
2. How to calculate the LCM of 836, 168, 686, 970, 251?
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 836, 168, 686, 970, 251.
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}.