Find the LCM of 843, 478, 999, 945, 703 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 843, 478, 999, 945, 703. So, keep reading to learn more.
Given numbers are 843,478,999,945,703
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 843,478,999,945,703 is 89232148530.
Find LCM of 843,478,999,945,703 with Prime Factorization
3 | 843, 478, 999, 945, 703 |
3 | 281, 478, 333, 315, 703 |
3 | 281, 478, 111, 105, 703 |
37 | 281, 478, 37, 35, 703 |
281, 478, 1, 35, 19 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 37 x 281 x 478 x 1 x 35 x 19 = 89232148530
Therefore, the lowest common multiple of 843,478,999,945,703 is 89232148530.
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.
843 x 478 x 999 x 945 x 703 = 267428749144410
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.
843 : 1, 3, 281, 843
478 : 1, 2, 239, 478
999 : 1, 3, 9, 27, 37, 111, 333, 999
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
703 : 1, 19, 37, 703
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 843,478,999,945,703, is 1.
Now, the common factors can be found like this.
843:3x 281
478:2x 239
999:3x 3x 3x 37
945:3x 3x 3x 5x 7
703:19x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 37 = 2997
Therefore, the value for common factors is 2997.
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 = 267428749144410/(1x2997)
LCM = 267428749144410/2997
LCM = 89232148530
Thus, we can understand that the LCM of 843,478,999,945,703 is 89232148530.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 843, 478, 999, 945, 703?
Answer: LCM of 843, 478, 999, 945, 703 is 89232148530.
2. How to calculate the LCM of 843, 478, 999, 945, 703?
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 843, 478, 999, 945, 703.
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}.