Find the LCM of 881, 908, 242, 346, 822 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 881, 908, 242, 346, 822. So, keep reading to learn more.
Given numbers are 881,908,242,346,822
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 881,908,242,346,822 is 6882323019924.
Find LCM of 881,908,242,346,822 with Prime Factorization
2 | 881, 908, 242, 346, 822 |
881, 454, 121, 173, 411 |
Multiply the prime numbers at the bottom and the left side.
2 x 881 x 454 x 121 x 173 x 411 = 6882323019924
Therefore, the lowest common multiple of 881,908,242,346,822 is 6882323019924.
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.
881 x 908 x 242 x 346 x 822 = 55058584159392
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.
881 : 1, 881
908 : 1, 2, 4, 227, 454, 908
242 : 1, 2, 11, 22, 121, 242
346 : 1, 2, 173, 346
822 : 1, 2, 3, 6, 137, 274, 411, 822
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 881,908,242,346,822, is 1.
Now, the common factors can be found like this.
881:881
908:2x 2x 227
242:2x 11x 11
346:2x 173
822:2x 3x 137
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 2 = 8
Therefore, the value for common factors is 8.
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 = 55058584159392/(1x8)
LCM = 55058584159392/8
LCM = 6882323019924
Thus, we can understand that the LCM of 881,908,242,346,822 is 6882323019924.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 881, 908, 242, 346, 822?
Answer: LCM of 881, 908, 242, 346, 822 is 6882323019924.
2. How to calculate the LCM of 881, 908, 242, 346, 822?
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 881, 908, 242, 346, 822.
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}.