Find the LCM of 981, 544, 418, 978, 936 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 981, 544, 418, 978, 936. So, keep reading to learn more.
Given numbers are 981,544,418,978,936
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 981,544,418,978,936 is 236344309344.
Find LCM of 981,544,418,978,936 with Prime Factorization
2 | 981, 544, 418, 978, 936 |
2 | 981, 272, 209, 489, 468 |
2 | 981, 136, 209, 489, 234 |
3 | 981, 68, 209, 489, 117 |
3 | 327, 68, 209, 163, 39 |
109, 68, 209, 163, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 109 x 68 x 209 x 163 x 13 = 236344309344
Therefore, the lowest common multiple of 981,544,418,978,936 is 236344309344.
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.
981 x 544 x 418 x 978 x 936 = 204201483273216
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.
981 : 1, 3, 9, 109, 327, 981
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
418 : 1, 2, 11, 19, 22, 38, 209, 418
978 : 1, 2, 3, 6, 163, 326, 489, 978
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 981,544,418,978,936, is 1.
Now, the common factors can be found like this.
981:3x 3x 109
544:2x 2x 2x 2x 2x 17
418:2x 11x 19
978:2x 3x 163
936:2x 2x 2x 3x 3x 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 2x 2x 2x 3x 3x 3 = 864
Therefore, the value for common factors is 864.
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 = 204201483273216/(1x864)
LCM = 204201483273216/864
LCM = 236344309344
Thus, we can understand that the LCM of 981,544,418,978,936 is 236344309344.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 981, 544, 418, 978, 936?
Answer: LCM of 981, 544, 418, 978, 936 is 236344309344.
2. How to calculate the LCM of 981, 544, 418, 978, 936?
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 981, 544, 418, 978, 936.
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}.