Find the LCM of 881, 820, 286, 312, 594 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, 820, 286, 312, 594. So, keep reading to learn more.
Given numbers are 881,820,286,312,594
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 881,820,286,312,594 is 5578527240.
Find LCM of 881,820,286,312,594 with Prime Factorization
2 | 881, 820, 286, 312, 594 |
2 | 881, 410, 143, 156, 297 |
3 | 881, 205, 143, 78, 297 |
11 | 881, 205, 143, 26, 99 |
13 | 881, 205, 13, 26, 9 |
881, 205, 1, 2, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 13 x 881 x 205 x 1 x 2 x 9 = 5578527240
Therefore, the lowest common multiple of 881,820,286,312,594 is 5578527240.
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 820 x 286 x 312 x 594 = 38291010975360
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
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
286 : 1, 2, 11, 13, 22, 26, 143, 286
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 881,820,286,312,594, is 1.
Now, the common factors can be found like this.
881:881
820:2x 2x 5x 41
286:2x 11x 13
312:2x 2x 2x 3x 13
594:2x 3x 3x 3x 11
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 3x 11x 13 = 6864
Therefore, the value for common factors is 6864.
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 = 38291010975360/(1x6864)
LCM = 38291010975360/6864
LCM = 5578527240
Thus, we can understand that the LCM of 881,820,286,312,594 is 5578527240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 881, 820, 286, 312, 594?
Answer: LCM of 881, 820, 286, 312, 594 is 5578527240.
2. How to calculate the LCM of 881, 820, 286, 312, 594?
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, 820, 286, 312, 594.
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}.