Find the LCM of 426, 209, 922, 687, 260 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 426, 209, 922, 687, 260. So, keep reading to learn more.
Given numbers are 426,209,922,687,260
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 426,209,922,687,260 is 1221899944980.
Find LCM of 426,209,922,687,260 with Prime Factorization
2 | 426, 209, 922, 687, 260 |
3 | 213, 209, 461, 687, 130 |
71, 209, 461, 229, 130 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 71 x 209 x 461 x 229 x 130 = 1221899944980
Therefore, the lowest common multiple of 426,209,922,687,260 is 1221899944980.
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.
426 x 209 x 922 x 687 x 260 = 14662799339760
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.
426 : 1, 2, 3, 6, 71, 142, 213, 426
209 : 1, 11, 19, 209
922 : 1, 2, 461, 922
687 : 1, 3, 229, 687
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,209,922,687,260, is 1.
Now, the common factors can be found like this.
426:2x 3x 71
209:11x 19
922:2x 461
687:3x 229
260:2x 2x 5x 13
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 3 = 12
Therefore, the value for common factors is 12.
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 = 14662799339760/(1x12)
LCM = 14662799339760/12
LCM = 1221899944980
Thus, we can understand that the LCM of 426,209,922,687,260 is 1221899944980.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 426, 209, 922, 687, 260?
Answer: LCM of 426, 209, 922, 687, 260 is 1221899944980.
2. How to calculate the LCM of 426, 209, 922, 687, 260?
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 426, 209, 922, 687, 260.
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}.